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Simplifying 2x4 + -121x2 = 0 Reorder the terms: -121x2 + 2x4 = 0 Solving -121x2 + 2x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(-121 + 2x2) = 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 '(-121 + 2x2)' equal to zero and attempt to solve: Simplifying -121 + 2x2 = 0 Solving -121 + 2x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '121' to each side of the equation. -121 + 121 + 2x2 = 0 + 121 Combine like terms: -121 + 121 = 0 0 + 2x2 = 0 + 121 2x2 = 0 + 121 Combine like terms: 0 + 121 = 121 2x2 = 121 Divide each side by '2'. x2 = 60.5 Simplifying x2 = 60.5 Take the square root of each side: x = {-7.778174593, 7.778174593}Solution
x = {0, -7.778174593, 7.778174593}
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