please help solve this equation. find all the factors of this equation and solve each factor step by step. include an written explanation on how you solved the equation. An example will be given in the second photo attached 5(¹)(-sin())(3x²) — 0-157²e() sin(x¹) = 0-15z² = 0 econ(¹) = 0-157²1²I|| ||III00-150+√00sin (7¹) <-0This is the equation we weregiven to solve.We began by cleaning up the ex-pression on the left side of theequation. Using the commutative and associative propertiesof multiplication, we pulled thenegative sign to the front andcompleted the multiplication ofthe 5 and the 3r to get thefirst factor of -152². We leftthe other two factors alone sincethere was not anything we coulddo to simplify them. Now thatthe left side of the equation is assimplified as possible and is infactored form, we are ready tocontinue.Using the zero product property,we set each factor on the left sideof the equation equal to zero tosolve the equation.We solved the first equation byfirst dividing both sides by -15and then taking the square rootof both sides of the equation,paying attention to include boththe positive and negative root. Show What You Know: Solving Equations withVarious Function TypesMAT 190 PrecalculusObjectives: The purpose of this assignment is for you to:1. demonstrate your ability to solve equations with various function types;2. improve your mathematical writing to include full solutions with justifications;3. integrate mathematical statements into grammatically correct expositions.Assignment: Find all exact solutions to the following equations:2e 3(3x+5) cos(x³ + 1) = 0Include a detailed explanation for each mathematical step written in grammatically correctcomplete sentences within a 2-column format.

To Find:Exact solution of the above equation:

Answered: Assignment: Find all exact solutions to…

Math

Advanced Math

Assignment: Find all exact solutions to the following equations: 2e ³(3x+5) cos(x³ + 1) = 0

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

please help solve this equation. find all the factors of this equation and solve each factor step by step. include an written explanation on how you solved the equation. An example will be given in the second photo attached

5(¹)(-sin())(3x²) — 0
-157²e() sin(x¹) = 0
-15z² = 0 econ(¹) = 0
-157²
1²
I
|| ||
III
0
0
-15
0
+√0
0
sin (7¹) <-0
This is the equation we were
given to solve.
We began by cleaning up the ex-
pression on the left side of the
equation. Using the commuta
tive and associative properties
of multiplication, we pulled the
negative sign to the front and
completed the multiplication of
the 5 and the 3r to get the
first factor of -152². We left
the other two factors alone since
there was not anything we could
do to simplify them. Now that
the left side of the equation is as
simplified as possible and is in
factored form, we are ready to
continue.
Using the zero product property,
we set each factor on the left side
of the equation equal to zero to
solve the equation.
We solved the first equation by
first dividing both sides by -15
and then taking the square root
of both sides of the equation,
paying attention to include both
the positive and negative root.

Show What You Know: Solving Equations with
Various Function Types
MAT 190 Precalculus
Objectives: The purpose of this assignment is for you to:
1. demonstrate your ability to solve equations with various function types;
2. improve your mathematical writing to include full solutions with justifications;
3. integrate mathematical statements into grammatically correct expositions.
Assignment: Find all exact solutions to the following equations:
2e 3(3x+5) cos(x³ + 1) = 0
Include a detailed explanation for each mathematical step written in grammatically correct
complete sentences within a 2-column format.

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