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Simplifying 729x3 = 16x Solving 729x3 = 16x Solving for variable 'x'. Reorder the terms: -16x + 729x3 = 16x + -16x Combine like terms: 16x + -16x = 0 -16x + 729x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-16 + 729x2) = 0 Factor a difference between two squares. x((4 + 27x)(-4 + 27x)) = 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 '(4 + 27x)' equal to zero and attempt to solve: Simplifying 4 + 27x = 0 Solving 4 + 27x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 27x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 27x = 0 + -4 27x = 0 + -4 Combine like terms: 0 + -4 = -4 27x = -4 Divide each side by '27'. x = -0.1481481481 Simplifying x = -0.1481481481Subproblem 3
Set the factor '(-4 + 27x)' equal to zero and attempt to solve: Simplifying -4 + 27x = 0 Solving -4 + 27x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 27x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 27x = 0 + 4 27x = 0 + 4 Combine like terms: 0 + 4 = 4 27x = 4 Divide each side by '27'. x = 0.1481481481 Simplifying x = 0.1481481481Solution
x = {0, -0.1481481481, 0.1481481481}
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