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Simplifying x(x + 14)(x + 1) = 0 Reorder the terms: x(14 + x)(x + 1) = 0 Reorder the terms: x(14 + x)(1 + x) = 0 Multiply (14 + x) * (1 + x) x(14(1 + x) + x(1 + x)) = 0 x((1 * 14 + x * 14) + x(1 + x)) = 0 x((14 + 14x) + x(1 + x)) = 0 x(14 + 14x + (1 * x + x * x)) = 0 x(14 + 14x + (1x + x2)) = 0 Combine like terms: 14x + 1x = 15x x(14 + 15x + x2) = 0 (14 * x + 15x * x + x2 * x) = 0 (14x + 15x2 + x3) = 0 Solving 14x + 15x2 + x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(14 + 15x + x2) = 0 Factor a trinomial. x((14 + x)(1 + 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 '(14 + x)' equal to zero and attempt to solve: Simplifying 14 + x = 0 Solving 14 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + x = 0 + -14 x = 0 + -14 Combine like terms: 0 + -14 = -14 x = -14 Simplifying x = -14Subproblem 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, -14, -1}
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