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Simplifying 2x2 + -12x + 32x = x2 Reorder the terms: -12x + 32x + 2x2 = x2 Combine like terms: -12x + 32x = 20x 20x + 2x2 = x2 Solving 20x + 2x2 = x2 Solving for variable 'x'. Combine like terms: 2x2 + -1x2 = 1x2 20x + 1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 20x + 1x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(20 + 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 '(20 + x)' equal to zero and attempt to solve: Simplifying 20 + x = 0 Solving 20 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + x = 0 + -20 x = 0 + -20 Combine like terms: 0 + -20 = -20 x = -20 Simplifying x = -20Solution
x = {0, -20}
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