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Simplifying x(8x + -9)(x + 4) = 0 Reorder the terms: x(-9 + 8x)(x + 4) = 0 Reorder the terms: x(-9 + 8x)(4 + x) = 0 Multiply (-9 + 8x) * (4 + x) x(-9(4 + x) + 8x * (4 + x)) = 0 x((4 * -9 + x * -9) + 8x * (4 + x)) = 0 x((-36 + -9x) + 8x * (4 + x)) = 0 x(-36 + -9x + (4 * 8x + x * 8x)) = 0 x(-36 + -9x + (32x + 8x2)) = 0 Combine like terms: -9x + 32x = 23x x(-36 + 23x + 8x2) = 0 (-36 * x + 23x * x + 8x2 * x) = 0 (-36x + 23x2 + 8x3) = 0 Solving -36x + 23x2 + 8x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-36 + 23x + 8x2) = 0 Factor a trinomial. x((-4 + -1x)(9 + -8x)) = 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 '(-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 = -4Subproblem 3
Set the factor '(9 + -8x)' equal to zero and attempt to solve: Simplifying 9 + -8x = 0 Solving 9 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -8x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8x = 0 + -9 -8x = 0 + -9 Combine like terms: 0 + -9 = -9 -8x = -9 Divide each side by '-8'. x = 1.125 Simplifying x = 1.125Solution
x = {0, -4, 1.125}
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