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Simplifying 7x^{2}+ 4x + -15 = 49 + -44x Reorder the terms: -15 + 4x + 7x^{2}= 49 + -44x Solving -15 + 4x + 7x^{2}= 49 + -44x Solving for variable 'x'. Reorder the terms: -15 + -49 + 4x + 44x + 7x^{2}= 49 + -44x + -49 + 44x Combine like terms: -15 + -49 = -64 -64 + 4x + 44x + 7x^{2}= 49 + -44x + -49 + 44x Combine like terms: 4x + 44x = 48x -64 + 48x + 7x^{2}= 49 + -44x + -49 + 44x Reorder the terms: -64 + 48x + 7x^{2}= 49 + -49 + -44x + 44x Combine like terms: 49 + -49 = 0 -64 + 48x + 7x^{2}= 0 + -44x + 44x -64 + 48x + 7x^{2}= -44x + 44x Combine like terms: -44x + 44x = 0 -64 + 48x + 7x^{2}= 0 Factor a trinomial. (-8 + -1x)(8 + -7x) = 0## Subproblem 1

Set the factor '(-8 + -1x)' equal to zero and attempt to solve: Simplifying -8 + -1x = 0 Solving -8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 0 + 8 -1x = 0 + 8 Combine like terms: 0 + 8 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8## Subproblem 2

Set the factor '(8 + -7x)' equal to zero and attempt to solve: Simplifying 8 + -7x = 0 Solving 8 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -7x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7x = 0 + -8 -7x = 0 + -8 Combine like terms: 0 + -8 = -8 -7x = -8 Divide each side by '-7'. x = 1.142857143 Simplifying x = 1.142857143## Solution

x = {-8, 1.142857143}

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