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Simplifying 66x2 + 222x + 180 = 0 Reorder the terms: 180 + 222x + 66x2 = 0 Solving 180 + 222x + 66x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6'. 6(30 + 37x + 11x2) = 0 Factor a trinomial. 6((2 + x)(15 + 11x)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Subproblem 2
Set the factor '(15 + 11x)' equal to zero and attempt to solve: Simplifying 15 + 11x = 0 Solving 15 + 11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 11x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 11x = 0 + -15 11x = 0 + -15 Combine like terms: 0 + -15 = -15 11x = -15 Divide each side by '11'. x = -1.363636364 Simplifying x = -1.363636364Solution
x = {-2, -1.363636364}
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