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Simplifying 2x2 + 11x + -20 = 5x + 16 Reorder the terms: -20 + 11x + 2x2 = 5x + 16 Reorder the terms: -20 + 11x + 2x2 = 16 + 5x Solving -20 + 11x + 2x2 = 16 + 5x Solving for variable 'x'. Reorder the terms: -20 + -16 + 11x + -5x + 2x2 = 16 + 5x + -16 + -5x Combine like terms: -20 + -16 = -36 -36 + 11x + -5x + 2x2 = 16 + 5x + -16 + -5x Combine like terms: 11x + -5x = 6x -36 + 6x + 2x2 = 16 + 5x + -16 + -5x Reorder the terms: -36 + 6x + 2x2 = 16 + -16 + 5x + -5x Combine like terms: 16 + -16 = 0 -36 + 6x + 2x2 = 0 + 5x + -5x -36 + 6x + 2x2 = 5x + -5x Combine like terms: 5x + -5x = 0 -36 + 6x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-18 + 3x + x2) = 0 Factor a trinomial. 2((-6 + -1x)(3 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 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 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-6, 3}
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