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Simplifying 64x3 + -9x2 = 0 Reorder the terms: -9x2 + 64x3 = 0 Solving -9x2 + 64x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(-9 + 64x) = 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 '(-9 + 64x)' equal to zero and attempt to solve: Simplifying -9 + 64x = 0 Solving -9 + 64x = 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 + 64x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 64x = 0 + 9 64x = 0 + 9 Combine like terms: 0 + 9 = 9 64x = 9 Divide each side by '64'. x = 0.140625 Simplifying x = 0.140625Solution
x = {0, 0.140625}
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