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Simplifying 8x6 + -16x4 = 0 Reorder the terms: -16x4 + 8x6 = 0 Solving -16x4 + 8x6 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8x4'. 8x4(-2 + x2) = 0 Ignore the factor 8.Subproblem 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 '(-2 + x2)' equal to zero and attempt to solve: Simplifying -2 + x2 = 0 Solving -2 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x2 = 0 + 2 x2 = 0 + 2 Combine like terms: 0 + 2 = 2 x2 = 2 Simplifying x2 = 2 Take the square root of each side: x = {-1.414213562, 1.414213562}Solution
x = {-1.414213562, 1.414213562}
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