Chapter 9.7, Problem 24PPS

To determine

Solve the equations.

Answer to Problem 24PPS

  $x=2$ or $x=-3$

Explanation of Solution

Given Information: $x^2+3x-5=2x+1$

Formula Used: Factorization

Calculation:

  $x^2+3x-5=2x+1$

So, simplify

  $x^2+3x-5-2x-1=0$

So,

  $x^2+x-6=0$

Now, factorize

  $x^2+3x-2x-6=0$

So,

  $x\left(x+3\right)-2\left(x+3\right)=0$

Now,

  $\left(x-2\right)\left(x+3\right)=0$

Hence,

  $x=2$ or $x=-3$