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Simplifying (x + -6)(x + -6) = 36 Reorder the terms: (-6 + x)(x + -6) = 36 Reorder the terms: (-6 + x)(-6 + x) = 36 Multiply (-6 + x) * (-6 + x) (-6(-6 + x) + x(-6 + x)) = 36 ((-6 * -6 + x * -6) + x(-6 + x)) = 36 ((36 + -6x) + x(-6 + x)) = 36 (36 + -6x + (-6 * x + x * x)) = 36 (36 + -6x + (-6x + x2)) = 36 Combine like terms: -6x + -6x = -12x (36 + -12x + x2) = 36 Add '-36' to each side of the equation. 36 + -12x + -36 + x2 = 36 + -36 Reorder the terms: 36 + -36 + -12x + x2 = 36 + -36 Combine like terms: 36 + -36 = 0 0 + -12x + x2 = 36 + -36 -12x + x2 = 36 + -36 Combine like terms: 36 + -36 = 0 -12x + x2 = 0 Solving -12x + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-12 + 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 '(-12 + x)' equal to zero and attempt to solve: Simplifying -12 + x = 0 Solving -12 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + x = 0 + 12 x = 0 + 12 Combine like terms: 0 + 12 = 12 x = 12 Simplifying x = 12Solution
x = {0, 12}
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