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Simplifying (x + 10)(2x)(20) = (60x2) Reorder the terms: (10 + x)(2x)(20) = (60x2) Remove parenthesis around (2x) (10 + x) * 2x(20) = (60x2) Reorder the terms for easier multiplication: 2 * 20x(10 + x) = (60x2) Multiply 2 * 20 40x(10 + x) = (60x2) (10 * 40x + x * 40x) = (60x2) (400x + 40x2) = (60x2) Solving 400x + 40x2 = (60x2) Solving for variable 'x'. Combine like terms: 40x2 + (-60x2) = -20x2 400x + -20x2 = (60x2) + (-60x2) Combine like terms: (60x2) + (-60x2) = 0 400x + -20x2 = 0 Factor out the Greatest Common Factor (GCF), '20x'. 20x(20 + -1x) = 0 Ignore the factor 20.Subproblem 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 '(20 + -1x)' equal to zero and attempt to solve: Simplifying 20 + -1x = 0 Solving 20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 0 + -20 -1x = 0 + -20 Combine like terms: 0 + -20 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20Solution
x = {0, 20}
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