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Simplifying 0 = x4 + 6x2 Reorder the terms: 0 = 6x2 + x4 Solving 0 = 6x2 + x4 Solving for variable 'x'. Remove the zero: -6x2 + -1x4 = 6x2 + x4 + -6x2 + -1x4 Reorder the terms: -6x2 + -1x4 = 6x2 + -6x2 + x4 + -1x4 Combine like terms: 6x2 + -6x2 = 0 -6x2 + -1x4 = 0 + x4 + -1x4 -6x2 + -1x4 = x4 + -1x4 Combine like terms: x4 + -1x4 = 0 -6x2 + -1x4 = 0 Factor out the Greatest Common Factor (GCF), '-1x2'. -1x2(6 + x2) = 0 Ignore the factor -1.Subproblem 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 '(6 + x2)' equal to zero and attempt to solve: Simplifying 6 + x2 = 0 Solving 6 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x2 = 0 + -6 x2 = 0 + -6 Combine like terms: 0 + -6 = -6 x2 = -6 Simplifying x2 = -6 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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