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Simplifying x2 = -24x + -144 Reorder the terms: x2 = -144 + -24x Solving x2 = -144 + -24x Solving for variable 'x'. Reorder the terms: 144 + 24x + x2 = -144 + -24x + 144 + 24x Reorder the terms: 144 + 24x + x2 = -144 + 144 + -24x + 24x Combine like terms: -144 + 144 = 0 144 + 24x + x2 = 0 + -24x + 24x 144 + 24x + x2 = -24x + 24x Combine like terms: -24x + 24x = 0 144 + 24x + x2 = 0 Factor a trinomial. (12 + x)(12 + x) = 0Subproblem 1
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 = -12Subproblem 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 = {-12, -12}
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