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Simplifying (10x + 15)(5x)(2) = 0 Reorder the terms: (15 + 10x)(5x)(2) = 0 Remove parenthesis around (5x) (15 + 10x) * 5x(2) = 0 Reorder the terms for easier multiplication: 5 * 2x(15 + 10x) = 0 Multiply 5 * 2 10x(15 + 10x) = 0 (15 * 10x + 10x * 10x) = 0 (150x + 100x2) = 0 Solving 150x + 100x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '50x'. 50x(3 + 2x) = 0 Ignore the factor 50.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 '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5Solution
x = {0, -1.5}
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