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Simplifying 81x3 = 256x Solving 81x3 = 256x Solving for variable 'x'. Reorder the terms: -256x + 81x3 = 256x + -256x Combine like terms: 256x + -256x = 0 -256x + 81x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-256 + 81x2) = 0 Factor a difference between two squares. x((16 + 9x)(-16 + 9x)) = 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 '(16 + 9x)' equal to zero and attempt to solve: Simplifying 16 + 9x = 0 Solving 16 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 9x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 9x = 0 + -16 9x = 0 + -16 Combine like terms: 0 + -16 = -16 9x = -16 Divide each side by '9'. x = -1.777777778 Simplifying x = -1.777777778Subproblem 3
Set the factor '(-16 + 9x)' equal to zero and attempt to solve: Simplifying -16 + 9x = 0 Solving -16 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 9x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 9x = 0 + 16 9x = 0 + 16 Combine like terms: 0 + 16 = 16 9x = 16 Divide each side by '9'. x = 1.777777778 Simplifying x = 1.777777778Solution
x = {0, -1.777777778, 1.777777778}
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