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Simplifying -11x + 13 = 2x2 + -5x + -7 Reorder the terms: 13 + -11x = 2x2 + -5x + -7 Reorder the terms: 13 + -11x = -7 + -5x + 2x2 Solving 13 + -11x = -7 + -5x + 2x2 Solving for variable 'x'. Reorder the terms: 13 + 7 + -11x + 5x + -2x2 = -7 + -5x + 2x2 + 7 + 5x + -2x2 Combine like terms: 13 + 7 = 20 20 + -11x + 5x + -2x2 = -7 + -5x + 2x2 + 7 + 5x + -2x2 Combine like terms: -11x + 5x = -6x 20 + -6x + -2x2 = -7 + -5x + 2x2 + 7 + 5x + -2x2 Reorder the terms: 20 + -6x + -2x2 = -7 + 7 + -5x + 5x + 2x2 + -2x2 Combine like terms: -7 + 7 = 0 20 + -6x + -2x2 = 0 + -5x + 5x + 2x2 + -2x2 20 + -6x + -2x2 = -5x + 5x + 2x2 + -2x2 Combine like terms: -5x + 5x = 0 20 + -6x + -2x2 = 0 + 2x2 + -2x2 20 + -6x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 20 + -6x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(10 + -3x + -1x2) = 0 Factor a trinomial. 2((2 + -1x)(5 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 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 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {2, -5}
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