Find the solution set in the real numbers of each of the equations. (a) 2(2x – 4x + 6) = 2(1– 2x)+ 10 (b) x(x – 6) = 6 (x² -x+4)

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Finding the Solution Set in Real Numbers**

To solve the following algebraic equations, identify the real number solutions:

**Equation (a):**

\[ 2(2x - 4x + 6) = 2(1 - 2x) + 10 \]

**Equation (b):**

\[ x(x - 6) = 6(x^2 - x + 4) \]

**Instructions:**

1. Simplify each side of the equations.
2. Solve for the variable \(x\) by isolating it on one side.
3. Verify your solutions by substituting back into the original equations to ensure both sides are equal.
Transcribed Image Text:**Finding the Solution Set in Real Numbers** To solve the following algebraic equations, identify the real number solutions: **Equation (a):** \[ 2(2x - 4x + 6) = 2(1 - 2x) + 10 \] **Equation (b):** \[ x(x - 6) = 6(x^2 - x + 4) \] **Instructions:** 1. Simplify each side of the equations. 2. Solve for the variable \(x\) by isolating it on one side. 3. Verify your solutions by substituting back into the original equations to ensure both sides are equal.
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