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Simplifying x(5x + -4)(x + 6) = 0 Reorder the terms: x(-4 + 5x)(x + 6) = 0 Reorder the terms: x(-4 + 5x)(6 + x) = 0 Multiply (-4 + 5x) * (6 + x) x(-4(6 + x) + 5x * (6 + x)) = 0 x((6 * -4 + x * -4) + 5x * (6 + x)) = 0 x((-24 + -4x) + 5x * (6 + x)) = 0 x(-24 + -4x + (6 * 5x + x * 5x)) = 0 x(-24 + -4x + (30x + 5x2)) = 0 Combine like terms: -4x + 30x = 26x x(-24 + 26x + 5x2) = 0 (-24 * x + 26x * x + 5x2 * x) = 0 (-24x + 26x2 + 5x3) = 0 Solving -24x + 26x2 + 5x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-24 + 26x + 5x2) = 0 Factor a trinomial. x((-6 + -1x)(4 + -5x)) = 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 + -5x)' equal to zero and attempt to solve: Simplifying 4 + -5x = 0 Solving 4 + -5x = 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 + -5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 0 + -4 -5x = 0 + -4 Combine like terms: 0 + -4 = -4 -5x = -4 Divide each side by '-5'. x = 0.8 Simplifying x = 0.8Solution
x = {0, -6, 0.8}
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