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Simplifying 2(x2 + -66) = -13x Reorder the terms: 2(-66 + x2) = -13x (-66 * 2 + x2 * 2) = -13x (-132 + 2x2) = -13x Solving -132 + 2x2 = -13x Solving for variable 'x'. Reorder the terms: -132 + 13x + 2x2 = -13x + 13x Combine like terms: -13x + 13x = 0 -132 + 13x + 2x2 = 0 Factor a trinomial. (-12 + -1x)(11 + -2x) = 0Subproblem 1
Set the factor '(-12 + -1x)' equal to zero and attempt to solve: Simplifying -12 + -1x = 0 Solving -12 + -1x = 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 + -1x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 0 + 12 -1x = 0 + 12 Combine like terms: 0 + 12 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12Subproblem 2
Set the factor '(11 + -2x)' equal to zero and attempt to solve: Simplifying 11 + -2x = 0 Solving 11 + -2x = 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 + -2x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -2x = 0 + -11 -2x = 0 + -11 Combine like terms: 0 + -11 = -11 -2x = -11 Divide each side by '-2'. x = 5.5 Simplifying x = 5.5Solution
x = {-12, 5.5}
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