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Simplifying x2 + -18x + -10x = 20x Reorder the terms: -18x + -10x + x2 = 20x Combine like terms: -18x + -10x = -28x -28x + x2 = 20x Solving -28x + x2 = 20x Solving for variable 'x'. Reorder the terms: -28x + -20x + x2 = 20x + -20x Combine like terms: -28x + -20x = -48x -48x + x2 = 20x + -20x Combine like terms: 20x + -20x = 0 -48x + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-48 + 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 '(-48 + x)' equal to zero and attempt to solve: Simplifying -48 + x = 0 Solving -48 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + x = 0 + 48 Combine like terms: -48 + 48 = 0 0 + x = 0 + 48 x = 0 + 48 Combine like terms: 0 + 48 = 48 x = 48 Simplifying x = 48Solution
x = {0, 48}
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