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Simplifying 169x3 + -64x = 0 Reorder the terms: -64x + 169x3 = 0 Solving -64x + 169x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-64 + 169x2) = 0 Factor a difference between two squares. x((8 + 13x)(-8 + 13x)) = 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 '(8 + 13x)' equal to zero and attempt to solve: Simplifying 8 + 13x = 0 Solving 8 + 13x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 13x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 13x = 0 + -8 13x = 0 + -8 Combine like terms: 0 + -8 = -8 13x = -8 Divide each side by '13'. x = -0.6153846154 Simplifying x = -0.6153846154Subproblem 3
Set the factor '(-8 + 13x)' equal to zero and attempt to solve: Simplifying -8 + 13x = 0 Solving -8 + 13x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 13x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 13x = 0 + 8 13x = 0 + 8 Combine like terms: 0 + 8 = 8 13x = 8 Divide each side by '13'. x = 0.6153846154 Simplifying x = 0.6153846154Solution
x = {0, -0.6153846154, 0.6153846154}
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