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Simplifying x6 + 8x4 + 12x4 = 0 Reorder the terms: 8x4 + 12x4 + x6 = 0 Combine like terms: 8x4 + 12x4 = 20x4 20x4 + x6 = 0 Solving 20x4 + x6 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x4'. x4(20 + x2) = 0Subproblem 1
Set the factor 'x4' equal to zero and attempt to solve: Simplifying x4 = 0 Solving x4 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(20 + x2)' equal to zero and attempt to solve: Simplifying 20 + x2 = 0 Solving 20 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + x2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + x2 = 0 + -20 x2 = 0 + -20 Combine like terms: 0 + -20 = -20 x2 = -20 Simplifying x2 = -20 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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