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Simplifying x(x2 + -81)(x2 + 64) = 0 Reorder the terms: x(-81 + x2)(x2 + 64) = 0 Reorder the terms: x(-81 + x2)(64 + x2) = 0 Multiply (-81 + x2) * (64 + x2) x(-81(64 + x2) + x2(64 + x2)) = 0 x((64 * -81 + x2 * -81) + x2(64 + x2)) = 0 x((-5184 + -81x2) + x2(64 + x2)) = 0 x(-5184 + -81x2 + (64 * x2 + x2 * x2)) = 0 x(-5184 + -81x2 + (64x2 + x4)) = 0 Combine like terms: -81x2 + 64x2 = -17x2 x(-5184 + -17x2 + x4) = 0 (-5184 * x + -17x2 * x + x4 * x) = 0 (-5184x + -17x3 + x5) = 0 Solving -5184x + -17x3 + x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-5184 + -17x2 + x4) = 0 Factor a trinomial. x((-64 + -1x2)(81 + -1x2)) = 0 Factor a difference between two squares. x((-64 + -1x2)((9 + x)(9 + -1x))) = 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 '(-64 + -1x2)' equal to zero and attempt to solve: Simplifying -64 + -1x2 = 0 Solving -64 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + -1x2 = 0 + 64 Combine like terms: -64 + 64 = 0 0 + -1x2 = 0 + 64 -1x2 = 0 + 64 Combine like terms: 0 + 64 = 64 -1x2 = 64 Divide each side by '-1'. x2 = -64 Simplifying x2 = -64 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 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 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9Subproblem 4
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 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 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {0, -9, 9}
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