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Simplifying (5x * 3x)(5 + x) = 0 Reorder the terms for easier multiplication: (5 * 3x * x)(5 + x) = 0 Multiply 5 * 3 (15x * x)(5 + x) = 0 Multiply x * x (15x2)(5 + x) = 0 Remove parenthesis around (15x2) 15x2(5 + x) = 0 (5 * 15x2 + x * 15x2) = 0 (75x2 + 15x3) = 0 Solving 75x2 + 15x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '15x2'. 15x2(5 + x) = 0 Ignore the factor 15.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {0, -5}
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