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Simplifying 16x4 + -121x2 = 0 Reorder the terms: -121x2 + 16x4 = 0 Solving -121x2 + 16x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(-121 + 16x2) = 0 Factor a difference between two squares. x2((11 + 4x)(-11 + 4x)) = 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 + 4x)' equal to zero and attempt to solve: Simplifying 11 + 4x = 0 Solving 11 + 4x = 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 + 4x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 4x = 0 + -11 4x = 0 + -11 Combine like terms: 0 + -11 = -11 4x = -11 Divide each side by '4'. x = -2.75 Simplifying x = -2.75Subproblem 3
Set the factor '(-11 + 4x)' equal to zero and attempt to solve: Simplifying -11 + 4x = 0 Solving -11 + 4x = 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 + 4x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 4x = 0 + 11 4x = 0 + 11 Combine like terms: 0 + 11 = 11 4x = 11 Divide each side by '4'. x = 2.75 Simplifying x = 2.75Solution
x = {0, -2.75, 2.75}
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