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Simplifying (x + -7)(6x + -1) = -91x + -89 Reorder the terms: (-7 + x)(6x + -1) = -91x + -89 Reorder the terms: (-7 + x)(-1 + 6x) = -91x + -89 Multiply (-7 + x) * (-1 + 6x) (-7(-1 + 6x) + x(-1 + 6x)) = -91x + -89 ((-1 * -7 + 6x * -7) + x(-1 + 6x)) = -91x + -89 ((7 + -42x) + x(-1 + 6x)) = -91x + -89 (7 + -42x + (-1 * x + 6x * x)) = -91x + -89 (7 + -42x + (-1x + 6x2)) = -91x + -89 Combine like terms: -42x + -1x = -43x (7 + -43x + 6x2) = -91x + -89 Reorder the terms: 7 + -43x + 6x2 = -89 + -91x Solving 7 + -43x + 6x2 = -89 + -91x Solving for variable 'x'. Reorder the terms: 7 + 89 + -43x + 91x + 6x2 = -89 + -91x + 89 + 91x Combine like terms: 7 + 89 = 96 96 + -43x + 91x + 6x2 = -89 + -91x + 89 + 91x Combine like terms: -43x + 91x = 48x 96 + 48x + 6x2 = -89 + -91x + 89 + 91x Reorder the terms: 96 + 48x + 6x2 = -89 + 89 + -91x + 91x Combine like terms: -89 + 89 = 0 96 + 48x + 6x2 = 0 + -91x + 91x 96 + 48x + 6x2 = -91x + 91x Combine like terms: -91x + 91x = 0 96 + 48x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(16 + 8x + x2) = 0 Factor a trinomial. 6((4 + x)(4 + x)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {-4, -4}
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