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Simplifying 121x + -64x3 = 0 Solving 121x + -64x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(121 + -64x2) = 0 Factor a difference between two squares. x((11 + 8x)(11 + -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 '(11 + 8x)' equal to zero and attempt to solve: Simplifying 11 + 8x = 0 Solving 11 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 8x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 8x = 0 + -11 8x = 0 + -11 Combine like terms: 0 + -11 = -11 8x = -11 Divide each side by '8'. x = -1.375 Simplifying x = -1.375Subproblem 3
Set the factor '(11 + -8x)' equal to zero and attempt to solve: Simplifying 11 + -8x = 0 Solving 11 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -8x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -8x = 0 + -11 -8x = 0 + -11 Combine like terms: 0 + -11 = -11 -8x = -11 Divide each side by '-8'. x = 1.375 Simplifying x = 1.375Solution
x = {0, -1.375, 1.375}
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