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Simplifying 5x8 + -30x2 + 30x6 = 0 Reorder the terms: -30x2 + 30x6 + 5x8 = 0 Solving -30x2 + 30x6 + 5x8 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x2'. 5x2(-6 + 6x4 + x6) = 0 Ignore the factor 5.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 + 6x4 + x6)' equal to zero and attempt to solve: Simplifying -6 + 6x4 + x6 = 0 Solving -6 + 6x4 + x6 = 0 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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