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Simplifying 81x3 = 64x2 Solving 81x3 = 64x2 Solving for variable 'x'. Reorder the terms: -64x2 + 81x3 = 64x2 + -64x2 Combine like terms: 64x2 + -64x2 = 0 -64x2 + 81x3 = 0 Factor out the Greatest Common Factor (GCF), 'x2'. x2(-64 + 81x) = 0Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(-64 + 81x)' equal to zero and attempt to solve: Simplifying -64 + 81x = 0 Solving -64 + 81x = 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 + 81x = 0 + 64 Combine like terms: -64 + 64 = 0 0 + 81x = 0 + 64 81x = 0 + 64 Combine like terms: 0 + 64 = 64 81x = 64 Divide each side by '81'. x = 0.7901234568 Simplifying x = 0.7901234568Solution
x = {0, 0.7901234568}
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