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Simplifying 132x2 + -23x = 132 Reorder the terms: -23x + 132x2 = 132 Solving -23x + 132x2 = 132 Solving for variable 'x'. Reorder the terms: -132 + -23x + 132x2 = 132 + -132 Combine like terms: 132 + -132 = 0 -132 + -23x + 132x2 = 0 Factor a trinomial. (-11 + -12x)(12 + -11x) = 0Subproblem 1
Set the factor '(-11 + -12x)' equal to zero and attempt to solve: Simplifying -11 + -12x = 0 Solving -11 + -12x = 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 + -12x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -12x = 0 + 11 -12x = 0 + 11 Combine like terms: 0 + 11 = 11 -12x = 11 Divide each side by '-12'. x = -0.9166666667 Simplifying x = -0.9166666667Subproblem 2
Set the factor '(12 + -11x)' equal to zero and attempt to solve: Simplifying 12 + -11x = 0 Solving 12 + -11x = 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 + -11x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -11x = 0 + -12 -11x = 0 + -12 Combine like terms: 0 + -12 = -12 -11x = -12 Divide each side by '-11'. x = 1.090909091 Simplifying x = 1.090909091Solution
x = {-0.9166666667, 1.090909091}
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