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Simplifying x2 + 100x = 20x Reorder the terms: 100x + x2 = 20x Solving 100x + x2 = 20x Solving for variable 'x'. Reorder the terms: 100x + -20x + x2 = 20x + -20x Combine like terms: 100x + -20x = 80x 80x + x2 = 20x + -20x Combine like terms: 20x + -20x = 0 80x + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(80 + 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 '(80 + x)' equal to zero and attempt to solve: Simplifying 80 + x = 0 Solving 80 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + x = 0 + -80 Combine like terms: 80 + -80 = 0 0 + x = 0 + -80 x = 0 + -80 Combine like terms: 0 + -80 = -80 x = -80 Simplifying x = -80Solution
x = {0, -80}
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