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Simplifying 2x4 + 4x2 + -576 = 0 Reorder the terms: -576 + 4x2 + 2x4 = 0 Solving -576 + 4x2 + 2x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-288 + 2x2 + x4) = 0 Factor a trinomial. 2((-18 + -1x2)(16 + -1x2)) = 0 Factor a difference between two squares. 2((-18 + -1x2)((4 + x)(4 + -1x))) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-18 + -1x2)' equal to zero and attempt to solve: Simplifying -18 + -1x2 = 0 Solving -18 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -1x2 = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -1x2 = 0 + 18 -1x2 = 0 + 18 Combine like terms: 0 + 18 = 18 -1x2 = 18 Divide each side by '-1'. x2 = -18 Simplifying x2 = -18 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 '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Subproblem 3
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-4, 4}
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