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Simplifying 5x(x + 15)(x + 1) = 0 Reorder the terms: 5x(15 + x)(x + 1) = 0 Reorder the terms: 5x(15 + x)(1 + x) = 0 Multiply (15 + x) * (1 + x) 5x(15(1 + x) + x(1 + x)) = 0 5x((1 * 15 + x * 15) + x(1 + x)) = 0 5x((15 + 15x) + x(1 + x)) = 0 5x(15 + 15x + (1 * x + x * x)) = 0 5x(15 + 15x + (1x + x2)) = 0 Combine like terms: 15x + 1x = 16x 5x(15 + 16x + x2) = 0 (15 * 5x + 16x * 5x + x2 * 5x) = 0 (75x + 80x2 + 5x3) = 0 Solving 75x + 80x2 + 5x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x'. 5x(15 + 16x + x2) = 0 Factor a trinomial. 5x((15 + x)(1 + x)) = 0 Ignore the factor 5.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 '(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 '(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, -15, -1}
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