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Simplifying X4 + -67X2 = 0 Reorder the terms: -67X2 + X4 = 0 Solving -67X2 + X4 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), 'X2'. X2(-67 + 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 '(-67 + X2)' equal to zero and attempt to solve: Simplifying -67 + X2 = 0 Solving -67 + X2 = 0 Move all terms containing X to the left, all other terms to the right. Add '67' to each side of the equation. -67 + 67 + X2 = 0 + 67 Combine like terms: -67 + 67 = 0 0 + X2 = 0 + 67 X2 = 0 + 67 Combine like terms: 0 + 67 = 67 X2 = 67 Simplifying X2 = 67 Take the square root of each side: X = {-8.185352772, 8.185352772}Solution
X = {0, -8.185352772, 8.185352772}
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