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Simplifying x2 + 20x = 2x Reorder the terms: 20x + x2 = 2x Solving 20x + x2 = 2x Solving for variable 'x'. Reorder the terms: 20x + -2x + x2 = 2x + -2x Combine like terms: 20x + -2x = 18x 18x + x2 = 2x + -2x Combine like terms: 2x + -2x = 0 18x + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(18 + 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 '(18 + x)' equal to zero and attempt to solve: Simplifying 18 + x = 0 Solving 18 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + x = 0 + -18 x = 0 + -18 Combine like terms: 0 + -18 = -18 x = -18 Simplifying x = -18Solution
x = {0, -18}
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