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Simplifying x(x + -4)(x + 14) = 0 Reorder the terms: x(-4 + x)(x + 14) = 0 Reorder the terms: x(-4 + x)(14 + x) = 0 Multiply (-4 + x) * (14 + x) x(-4(14 + x) + x(14 + x)) = 0 x((14 * -4 + x * -4) + x(14 + x)) = 0 x((-56 + -4x) + x(14 + x)) = 0 x(-56 + -4x + (14 * x + x * x)) = 0 x(-56 + -4x + (14x + x2)) = 0 Combine like terms: -4x + 14x = 10x x(-56 + 10x + x2) = 0 (-56 * x + 10x * x + x2 * x) = 0 (-56x + 10x2 + x3) = 0 Solving -56x + 10x2 + x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-56 + 10x + x2) = 0 Factor a trinomial. x((-14 + -1x)(4 + -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 '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {0, -14, 4}
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