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