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Simplifying -4x4 + -24x2 + 64 = 0 Reorder the terms: 64 + -24x2 + -4x4 = 0 Solving 64 + -24x2 + -4x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(16 + -6x2 + -1x4) = 0 Factor a trinomial. 4((2 + -1x2)(8 + x2)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(2 + -1x2)' equal to zero and attempt to solve: Simplifying 2 + -1x2 = 0 Solving 2 + -1x2 = 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 + -1x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x2 = 0 + -2 -1x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1x2 = -2 Divide each side by '-1'. x2 = 2 Simplifying x2 = 2 Take the square root of each side: x = {-1.414213562, 1.414213562}Subproblem 2
Set the factor '(8 + x2)' equal to zero and attempt to solve: Simplifying 8 + x2 = 0 Solving 8 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x2 = 0 + -8 x2 = 0 + -8 Combine like terms: 0 + -8 = -8 x2 = -8 Simplifying x2 = -8 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {-1.414213562, 1.414213562}
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