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Simplifying 12x2 + -144x + 332 = 8 Reorder the terms: 332 + -144x + 12x2 = 8 Solving 332 + -144x + 12x2 = 8 Solving for variable 'x'. Reorder the terms: 332 + -8 + -144x + 12x2 = 8 + -8 Combine like terms: 332 + -8 = 324 324 + -144x + 12x2 = 8 + -8 Combine like terms: 8 + -8 = 0 324 + -144x + 12x2 = 0 Factor out the Greatest Common Factor (GCF), '12'. 12(27 + -12x + x2) = 0 Factor a trinomial. 12((3 + -1x)(9 + -1x)) = 0 Ignore the factor 12.Subproblem 1
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 = 3Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {3, 9}
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