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Simplifying (x)(x + 3)(x + 15) = 0 Reorder the terms: x(3 + x)(x + 15) = 0 Reorder the terms: x(3 + x)(15 + x) = 0 Multiply (3 + x) * (15 + x) x(3(15 + x) + x(15 + x)) = 0 x((15 * 3 + x * 3) + x(15 + x)) = 0 x((45 + 3x) + x(15 + x)) = 0 x(45 + 3x + (15 * x + x * x)) = 0 x(45 + 3x + (15x + x2)) = 0 Combine like terms: 3x + 15x = 18x x(45 + 18x + x2) = 0 (45 * x + 18x * x + x2 * x) = 0 (45x + 18x2 + x3) = 0 Solving 45x + 18x2 + x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(45 + 18x + x2) = 0 Factor a trinomial. x((15 + x)(3 + x)) = 0Subproblem 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 '(15 + x)' equal to zero and attempt to solve: Simplifying 15 + x = 0 Solving 15 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + x = 0 + -15 x = 0 + -15 Combine like terms: 0 + -15 = -15 x = -15 Simplifying x = -15Subproblem 3
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {0, -15, -3}
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