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Simplifying x(x + 5) = 20x Reorder the terms: x(5 + x) = 20x (5 * x + x * x) = 20x (5x + x2) = 20x Solving 5x + x2 = 20x Solving for variable 'x'. Reorder the terms: 5x + -20x + x2 = 20x + -20x Combine like terms: 5x + -20x = -15x -15x + x2 = 20x + -20x Combine like terms: 20x + -20x = 0 -15x + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-15 + 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 '(-15 + x)' equal to zero and attempt to solve: Simplifying -15 + x = 0 Solving -15 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + x = 0 + 15 x = 0 + 15 Combine like terms: 0 + 15 = 15 x = 15 Simplifying x = 15Solution
x = {0, 15}
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