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Simplifying 4x4 + -39x2 + -400 = 0 Reorder the terms: -400 + -39x2 + 4x4 = 0 Solving -400 + -39x2 + 4x4 = 0 Solving for variable 'x'. Factor a trinomial. (-25 + -4x2)(16 + -1x2) = 0 Factor a difference between two squares. (-25 + -4x2)((4 + x)(4 + -1x)) = 0Subproblem 1
Set the factor '(-25 + -4x2)' equal to zero and attempt to solve: Simplifying -25 + -4x2 = 0 Solving -25 + -4x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -4x2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -4x2 = 0 + 25 -4x2 = 0 + 25 Combine like terms: 0 + 25 = 25 -4x2 = 25 Divide each side by '-4'. x2 = -6.25 Simplifying x2 = -6.25 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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