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Simplifying (5x + 5)(3x) = 0 Reorder the terms: (5 + 5x)(3x) = 0 Remove parenthesis around (3x) (5 + 5x) * 3x = 0 Reorder the terms for easier multiplication: 3x(5 + 5x) = 0 (5 * 3x + 5x * 3x) = 0 (15x + 15x2) = 0 Solving 15x + 15x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '15x'. 15x(1 + x) = 0 Ignore the factor 15.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 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {0, -1}
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