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Simplifying x4 + -65x2 = 0 Reorder the terms: -65x2 + x4 = 0 Solving -65x2 + x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(-65 + x2) = 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 '(-65 + x2)' equal to zero and attempt to solve: Simplifying -65 + x2 = 0 Solving -65 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '65' to each side of the equation. -65 + 65 + x2 = 0 + 65 Combine like terms: -65 + 65 = 0 0 + x2 = 0 + 65 x2 = 0 + 65 Combine like terms: 0 + 65 = 65 x2 = 65 Simplifying x2 = 65 Take the square root of each side: x = {-8.062257748, 8.062257748}Solution
x = {0, -8.062257748, 8.062257748}
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