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Simplifying 1x(x + 6)(x + -4) = 0 Reorder the terms: 1x(6 + x)(x + -4) = 0 Reorder the terms: 1x(6 + x)(-4 + x) = 0 Multiply (6 + x) * (-4 + x) 1x(6(-4 + x) + x(-4 + x)) = 0 1x((-4 * 6 + x * 6) + x(-4 + x)) = 0 1x((-24 + 6x) + x(-4 + x)) = 0 1x(-24 + 6x + (-4 * x + x * x)) = 0 1x(-24 + 6x + (-4x + x2)) = 0 Combine like terms: 6x + -4x = 2x 1x(-24 + 2x + x2) = 0 (-24 * 1x + 2x * 1x + x2 * 1x) = 0 (-24x + 2x2 + 1x3) = 0 Solving -24x + 2x2 + 1x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-24 + 2x + x2) = 0 Factor a trinomial. x((-6 + -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 '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6Subproblem 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, -6, 4}
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