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Simplifying 3(5 + -5x) * 5x = 0 Reorder the terms for easier multiplication: 3 * 5x(5 + -5x) = 0 Multiply 3 * 5 15x(5 + -5x) = 0 (5 * 15x + -5x * 15x) = 0 (75x + -75x2) = 0 Solving 75x + -75x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '75x'. 75x(1 + -1x) = 0 Ignore the factor 75.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 '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {0, 1}
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