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Simplifying 180X + -12X * X + -432 = 0 Multiply X * X 180X + -12X2 + -432 = 0 Reorder the terms: -432 + 180X + -12X2 = 0 Solving -432 + 180X + -12X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '12'. 12(-36 + 15X + -1X2) = 0 Factor a trinomial. 12((-12 + X)(3 + -1X)) = 0 Ignore the factor 12.Subproblem 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 '(3 + -1X)' equal to zero and attempt to solve: Simplifying 3 + -1X = 0 Solving 3 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1X = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1X = 0 + -3 -1X = 0 + -3 Combine like terms: 0 + -3 = -3 -1X = -3 Divide each side by '-1'. X = 3 Simplifying X = 3Solution
X = {12, 3}
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