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Simplifying x(3x + -4)(x + 8) = 0 Reorder the terms: x(-4 + 3x)(x + 8) = 0 Reorder the terms: x(-4 + 3x)(8 + x) = 0 Multiply (-4 + 3x) * (8 + x) x(-4(8 + x) + 3x * (8 + x)) = 0 x((8 * -4 + x * -4) + 3x * (8 + x)) = 0 x((-32 + -4x) + 3x * (8 + x)) = 0 x(-32 + -4x + (8 * 3x + x * 3x)) = 0 x(-32 + -4x + (24x + 3x2)) = 0 Combine like terms: -4x + 24x = 20x x(-32 + 20x + 3x2) = 0 (-32 * x + 20x * x + 3x2 * x) = 0 (-32x + 20x2 + 3x3) = 0 Solving -32x + 20x2 + 3x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-32 + 20x + 3x2) = 0 Factor a trinomial. x((-8 + -1x)(4 + -3x)) = 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 '(-8 + -1x)' equal to zero and attempt to solve: Simplifying -8 + -1x = 0 Solving -8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 0 + 8 -1x = 0 + 8 Combine like terms: 0 + 8 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8Subproblem 3
Set the factor '(4 + -3x)' equal to zero and attempt to solve: Simplifying 4 + -3x = 0 Solving 4 + -3x = 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 + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 0 + -4 -3x = 0 + -4 Combine like terms: 0 + -4 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333Solution
x = {0, -8, 1.333333333}
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