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Simplifying -64x3 + -72x2 = -486x Reorder the terms: -72x2 + -64x3 = -486x Solving -72x2 + -64x3 = -486x Solving for variable 'x'. Reorder the terms: 486x + -72x2 + -64x3 = -486x + 486x Combine like terms: -486x + 486x = 0 486x + -72x2 + -64x3 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(243 + -36x + -32x2) = 0 Factor a trinomial. 2x((9 + -4x)(27 + 8x)) = 0 Ignore the factor 2.Subproblem 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 '(9 + -4x)' equal to zero and attempt to solve: Simplifying 9 + -4x = 0 Solving 9 + -4x = 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 + -4x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = 0 + -9 -4x = 0 + -9 Combine like terms: 0 + -9 = -9 -4x = -9 Divide each side by '-4'. x = 2.25 Simplifying x = 2.25Subproblem 3
Set the factor '(27 + 8x)' equal to zero and attempt to solve: Simplifying 27 + 8x = 0 Solving 27 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 8x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 8x = 0 + -27 8x = 0 + -27 Combine like terms: 0 + -27 = -27 8x = -27 Divide each side by '8'. x = -3.375 Simplifying x = -3.375Solution
x = {0, 2.25, -3.375}
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