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Simplifying x4 + -119x2 + -3600 = 0 Reorder the terms: -3600 + -119x2 + x4 = 0 Solving -3600 + -119x2 + x4 = 0 Solving for variable 'x'. Factor a trinomial. (-25 + -1x2)(144 + -1x2) = 0 Factor a difference between two squares. (-25 + -1x2)((12 + x)(12 + -1x)) = 0Subproblem 1
Set the factor '(-25 + -1x2)' equal to zero and attempt to solve: Simplifying -25 + -1x2 = 0 Solving -25 + -1x2 = 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 + -1x2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -1x2 = 0 + 25 -1x2 = 0 + 25 Combine like terms: 0 + 25 = 25 -1x2 = 25 Divide each side by '-1'. x2 = -25 Simplifying x2 = -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 '(12 + x)' equal to zero and attempt to solve: Simplifying 12 + x = 0 Solving 12 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + x = 0 + -12 x = 0 + -12 Combine like terms: 0 + -12 = -12 x = -12 Simplifying x = -12Subproblem 3
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {-12, 12}
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