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Simplifying 2x2 + -9x = x2 + -20x Reorder the terms: -9x + 2x2 = x2 + -20x Reorder the terms: -9x + 2x2 = -20x + x2 Solving -9x + 2x2 = -20x + x2 Solving for variable 'x'. Reorder the terms: -9x + 20x + 2x2 + -1x2 = -20x + x2 + 20x + -1x2 Combine like terms: -9x + 20x = 11x 11x + 2x2 + -1x2 = -20x + x2 + 20x + -1x2 Combine like terms: 2x2 + -1x2 = 1x2 11x + 1x2 = -20x + x2 + 20x + -1x2 Reorder the terms: 11x + 1x2 = -20x + 20x + x2 + -1x2 Combine like terms: -20x + 20x = 0 11x + 1x2 = 0 + x2 + -1x2 11x + 1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 11x + 1x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(11 + x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(11 + x)' equal to zero and attempt to solve: Simplifying 11 + x = 0 Solving 11 + x = 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 + x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + x = 0 + -11 x = 0 + -11 Combine like terms: 0 + -11 = -11 x = -11 Simplifying x = -11Solution
x = {0, -11}
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