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Simplifying 5x(x + 16)(x + 1) = 0 Reorder the terms: 5x(16 + x)(x + 1) = 0 Reorder the terms: 5x(16 + x)(1 + x) = 0 Multiply (16 + x) * (1 + x) 5x(16(1 + x) + x(1 + x)) = 0 5x((1 * 16 + x * 16) + x(1 + x)) = 0 5x((16 + 16x) + x(1 + x)) = 0 5x(16 + 16x + (1 * x + x * x)) = 0 5x(16 + 16x + (1x + x2)) = 0 Combine like terms: 16x + 1x = 17x 5x(16 + 17x + x2) = 0 (16 * 5x + 17x * 5x + x2 * 5x) = 0 (80x + 85x2 + 5x3) = 0 Solving 80x + 85x2 + 5x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x'. 5x(16 + 17x + x2) = 0 Factor a trinomial. 5x((16 + 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 '(16 + x)' equal to zero and attempt to solve: Simplifying 16 + x = 0 Solving 16 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + x = 0 + -16 x = 0 + -16 Combine like terms: 0 + -16 = -16 x = -16 Simplifying x = -16Subproblem 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, -16, -1}
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