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Simplifying 180 = x2 + 4x + -12 Reorder the terms: 180 = -12 + 4x + x2 Solving 180 = -12 + 4x + x2 Solving for variable 'x'. Combine like terms: 180 + 12 = 192 192 + -4x + -1x2 = -12 + 4x + x2 + 12 + -4x + -1x2 Reorder the terms: 192 + -4x + -1x2 = -12 + 12 + 4x + -4x + x2 + -1x2 Combine like terms: -12 + 12 = 0 192 + -4x + -1x2 = 0 + 4x + -4x + x2 + -1x2 192 + -4x + -1x2 = 4x + -4x + x2 + -1x2 Combine like terms: 4x + -4x = 0 192 + -4x + -1x2 = 0 + x2 + -1x2 192 + -4x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 192 + -4x + -1x2 = 0 Factor a trinomial. (12 + -1x)(16 + x) = 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 '(16 + x)' equal to zero and attempt to solve: Simplifying 16 + x = 0 Solving 16 + x = 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 + x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + x = 0 + -16 x = 0 + -16 Combine like terms: 0 + -16 = -16 x = -16 Simplifying x = -16Solution
x = {12, -16}
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