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Simplifying x2 + 12x = 2x Reorder the terms: 12x + x2 = 2x Solving 12x + x2 = 2x Solving for variable 'x'. Reorder the terms: 12x + -2x + x2 = 2x + -2x Combine like terms: 12x + -2x = 10x 10x + x2 = 2x + -2x Combine like terms: 2x + -2x = 0 10x + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(10 + 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 '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10Solution
x = {0, -10}
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