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Simplifying 64x5 + -9x3 = 0 Reorder the terms: -9x3 + 64x5 = 0 Solving -9x3 + 64x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x3'. x3(-9 + 64x2) = 0 Factor a difference between two squares. x3((3 + 8x)(-3 + 8x)) = 0Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 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 '(3 + 8x)' equal to zero and attempt to solve: Simplifying 3 + 8x = 0 Solving 3 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 8x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = 0 + -3 8x = 0 + -3 Combine like terms: 0 + -3 = -3 8x = -3 Divide each side by '8'. x = -0.375 Simplifying x = -0.375Subproblem 3
Set the factor '(-3 + 8x)' equal to zero and attempt to solve: Simplifying -3 + 8x = 0 Solving -3 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 8x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 8x = 0 + 3 8x = 0 + 3 Combine like terms: 0 + 3 = 3 8x = 3 Divide each side by '8'. x = 0.375 Simplifying x = 0.375Solution
x = {-0.375, 0.375}
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