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Simplifying 64x3 = 225x Solving 64x3 = 225x Solving for variable 'x'. Reorder the terms: -225x + 64x3 = 225x + -225x Combine like terms: 225x + -225x = 0 -225x + 64x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-225 + 64x2) = 0 Factor a difference between two squares. x((15 + 8x)(-15 + 8x)) = 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 '(15 + 8x)' equal to zero and attempt to solve: Simplifying 15 + 8x = 0 Solving 15 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 8x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 8x = 0 + -15 8x = 0 + -15 Combine like terms: 0 + -15 = -15 8x = -15 Divide each side by '8'. x = -1.875 Simplifying x = -1.875Subproblem 3
Set the factor '(-15 + 8x)' equal to zero and attempt to solve: Simplifying -15 + 8x = 0 Solving -15 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 8x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 8x = 0 + 15 8x = 0 + 15 Combine like terms: 0 + 15 = 15 8x = 15 Divide each side by '8'. x = 1.875 Simplifying x = 1.875Solution
x = {0, -1.875, 1.875}
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