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Simplifying (x + -12)(x + -12) = 0 Reorder the terms: (-12 + x)(x + -12) = 0 Reorder the terms: (-12 + x)(-12 + x) = 0 Multiply (-12 + x) * (-12 + x) (-12(-12 + x) + x(-12 + x)) = 0 ((-12 * -12 + x * -12) + x(-12 + x)) = 0 ((144 + -12x) + x(-12 + x)) = 0 (144 + -12x + (-12 * x + x * x)) = 0 (144 + -12x + (-12x + x2)) = 0 Combine like terms: -12x + -12x = -24x (144 + -24x + x2) = 0 Solving 144 + -24x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (12 + -1x)(12 + -1x) = 0Subproblem 1
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 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 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 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 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {12, 12}
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