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Simplifying 0 = 6x2 + 6x + -180 Reorder the terms: 0 = -180 + 6x + 6x2 Solving 0 = -180 + 6x + 6x2 Solving for variable 'x'. Combine like terms: 0 + 180 = 180 180 + -6x + -6x2 = -180 + 6x + 6x2 + 180 + -6x + -6x2 Reorder the terms: 180 + -6x + -6x2 = -180 + 180 + 6x + -6x + 6x2 + -6x2 Combine like terms: -180 + 180 = 0 180 + -6x + -6x2 = 0 + 6x + -6x + 6x2 + -6x2 180 + -6x + -6x2 = 6x + -6x + 6x2 + -6x2 Combine like terms: 6x + -6x = 0 180 + -6x + -6x2 = 0 + 6x2 + -6x2 180 + -6x + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 180 + -6x + -6x2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(30 + -1x + -1x2) = 0 Factor a trinomial. 6((5 + -1x)(6 + x)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Subproblem 2
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Solution
x = {5, -6}
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