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Simplifying x(4 + -1x)(x + -6) = 0 Reorder the terms: x(4 + -1x)(-6 + x) = 0 Multiply (4 + -1x) * (-6 + x) x(4(-6 + x) + -1x * (-6 + x)) = 0 x((-6 * 4 + x * 4) + -1x * (-6 + x)) = 0 x((-24 + 4x) + -1x * (-6 + x)) = 0 x(-24 + 4x + (-6 * -1x + x * -1x)) = 0 x(-24 + 4x + (6x + -1x2)) = 0 Combine like terms: 4x + 6x = 10x x(-24 + 10x + -1x2) = 0 (-24 * x + 10x * x + -1x2 * x) = 0 (-24x + 10x2 + -1x3) = 0 Solving -24x + 10x2 + -1x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-24 + 10x + -1x2) = 0 Factor a trinomial. x((-6 + x)(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 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 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 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 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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