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Simplifying x2 + -20x = -8x Reorder the terms: -20x + x2 = -8x Solving -20x + x2 = -8x Solving for variable 'x'. Reorder the terms: -20x + 8x + x2 = -8x + 8x Combine like terms: -20x + 8x = -12x -12x + x2 = -8x + 8x Combine like terms: -8x + 8x = 0 -12x + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-12 + 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 '(-12 + x)' equal to zero and attempt to solve: Simplifying -12 + x = 0 Solving -12 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + x = 0 + 12 x = 0 + 12 Combine like terms: 0 + 12 = 12 x = 12 Simplifying x = 12Solution
x = {0, 12}
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