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Simplifying 6x + 4 + 2x2 + -12x = 180 Reorder the terms: 4 + 6x + -12x + 2x2 = 180 Combine like terms: 6x + -12x = -6x 4 + -6x + 2x2 = 180 Solving 4 + -6x + 2x2 = 180 Solving for variable 'x'. Reorder the terms: 4 + -180 + -6x + 2x2 = 180 + -180 Combine like terms: 4 + -180 = -176 -176 + -6x + 2x2 = 180 + -180 Combine like terms: 180 + -180 = 0 -176 + -6x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-88 + -3x + x2) = 0 Factor a trinomial. 2((-8 + -1x)(11 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve: Simplifying -8 + -1x = 0 Solving -8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 0 + 8 -1x = 0 + 8 Combine like terms: 0 + 8 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11Solution
x = {-8, 11}
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