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