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Simplifying (x + -4)(x + -4) + -12 = 13 Reorder the terms: (-4 + x)(x + -4) + -12 = 13 Reorder the terms: (-4 + x)(-4 + x) + -12 = 13 Multiply (-4 + x) * (-4 + x) (-4(-4 + x) + x(-4 + x)) + -12 = 13 ((-4 * -4 + x * -4) + x(-4 + x)) + -12 = 13 ((16 + -4x) + x(-4 + x)) + -12 = 13 (16 + -4x + (-4 * x + x * x)) + -12 = 13 (16 + -4x + (-4x + x2)) + -12 = 13 Combine like terms: -4x + -4x = -8x (16 + -8x + x2) + -12 = 13 Reorder the terms: 16 + -12 + -8x + x2 = 13 Combine like terms: 16 + -12 = 4 4 + -8x + x2 = 13 Solving 4 + -8x + x2 = 13 Solving for variable 'x'. Reorder the terms: 4 + -13 + -8x + x2 = 13 + -13 Combine like terms: 4 + -13 = -9 -9 + -8x + x2 = 13 + -13 Combine like terms: 13 + -13 = 0 -9 + -8x + x2 = 0 Factor a trinomial. (-1 + -1x)(9 + -1x) = 0Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {-1, 9}
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