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Simplifying (x + -12)(x + -12) = 16 Reorder the terms: (-12 + x)(x + -12) = 16 Reorder the terms: (-12 + x)(-12 + x) = 16 Multiply (-12 + x) * (-12 + x) (-12(-12 + x) + x(-12 + x)) = 16 ((-12 * -12 + x * -12) + x(-12 + x)) = 16 ((144 + -12x) + x(-12 + x)) = 16 (144 + -12x + (-12 * x + x * x)) = 16 (144 + -12x + (-12x + x2)) = 16 Combine like terms: -12x + -12x = -24x (144 + -24x + x2) = 16 Solving 144 + -24x + x2 = 16 Solving for variable 'x'. Reorder the terms: 144 + -16 + -24x + x2 = 16 + -16 Combine like terms: 144 + -16 = 128 128 + -24x + x2 = 16 + -16 Combine like terms: 16 + -16 = 0 128 + -24x + x2 = 0 Factor a trinomial. (8 + -1x)(16 + -1x) = 0Subproblem 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 = 8Subproblem 2
Set the factor '(16 + -1x)' equal to zero and attempt to solve: Simplifying 16 + -1x = 0 Solving 16 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 0 + -16 -1x = 0 + -16 Combine like terms: 0 + -16 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16Solution
x = {8, 16}
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