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Simplifying 121x4 + -64x2 = 0 Reorder the terms: -64x2 + 121x4 = 0 Solving -64x2 + 121x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(-64 + 121x2) = 0 Factor a difference between two squares. x2((8 + 11x)(-8 + 11x)) = 0Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(8 + 11x)' equal to zero and attempt to solve: Simplifying 8 + 11x = 0 Solving 8 + 11x = 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 + 11x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 11x = 0 + -8 11x = 0 + -8 Combine like terms: 0 + -8 = -8 11x = -8 Divide each side by '11'. x = -0.7272727273 Simplifying x = -0.7272727273Subproblem 3
Set the factor '(-8 + 11x)' equal to zero and attempt to solve: Simplifying -8 + 11x = 0 Solving -8 + 11x = 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 + 11x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 11x = 0 + 8 11x = 0 + 8 Combine like terms: 0 + 8 = 8 11x = 8 Divide each side by '11'. x = 0.7272727273 Simplifying x = 0.7272727273Solution
x = {0, -0.7272727273, 0.7272727273}
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