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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 = 13x x(-14 + 13x + x2) = 0 (-14 * x + 13x * x + x2 * x) = 0 (-14x + 13x2 + x3) = 0 Solving -14x + 13x2 + x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-14 + 13x + x2) = 0 Factor a trinomial. x((-14 + -1x)(1 + -1x)) = 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 + -1x)' equal to zero and attempt to solve: Simplifying -14 + -1x = 0 Solving -14 + -1x = 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 + -1x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -1x = 0 + 14 -1x = 0 + 14 Combine like terms: 0 + 14 = 14 -1x = 14 Divide each side by '-1'. x = -14 Simplifying x = -14Subproblem 3
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {0, -14, 1}
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