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Simplifying 64x8 + -1x6 = 0 Reorder the terms: -1x6 + 64x8 = 0 Solving -1x6 + 64x8 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x6'. x6(-1 + 64x2) = 0 Factor a difference between two squares. x6((1 + 8x)(-1 + 8x)) = 0Subproblem 1
Set the factor 'x6' equal to zero and attempt to solve: Simplifying x6 = 0 Solving x6 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x6 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(1 + 8x)' equal to zero and attempt to solve: Simplifying 1 + 8x = 0 Solving 1 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 8x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8x = 0 + -1 8x = 0 + -1 Combine like terms: 0 + -1 = -1 8x = -1 Divide each side by '8'. x = -0.125 Simplifying x = -0.125Subproblem 3
Set the factor '(-1 + 8x)' equal to zero and attempt to solve: Simplifying -1 + 8x = 0 Solving -1 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 8x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 8x = 0 + 1 8x = 0 + 1 Combine like terms: 0 + 1 = 1 8x = 1 Divide each side by '8'. x = 0.125 Simplifying x = 0.125Solution
x = {-0.125, 0.125}
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