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Simplifying 81x4 + -121x2 = 0 Reorder the terms: -121x2 + 81x4 = 0 Solving -121x2 + 81x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(-121 + 81x2) = 0 Factor a difference between two squares. x2((11 + 9x)(-11 + 9x)) = 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 '(11 + 9x)' equal to zero and attempt to solve: Simplifying 11 + 9x = 0 Solving 11 + 9x = 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 + 9x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 9x = 0 + -11 9x = 0 + -11 Combine like terms: 0 + -11 = -11 9x = -11 Divide each side by '9'. x = -1.222222222 Simplifying x = -1.222222222Subproblem 3
Set the factor '(-11 + 9x)' equal to zero and attempt to solve: Simplifying -11 + 9x = 0 Solving -11 + 9x = 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 + 9x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 9x = 0 + 11 9x = 0 + 11 Combine like terms: 0 + 11 = 11 9x = 11 Divide each side by '9'. x = 1.222222222 Simplifying x = 1.222222222Solution
x = {0, -1.222222222, 1.222222222}
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