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Simplifying x4 + -23x2 + -108 = 0 Reorder the terms: -108 + -23x2 + x4 = 0 Solving -108 + -23x2 + x4 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -1x2)(27 + -1x2) = 0Subproblem 1
Set the factor '(-4 + -1x2)' equal to zero and attempt to solve: Simplifying -4 + -1x2 = 0 Solving -4 + -1x2 = 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 + -1x2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x2 = 0 + 4 -1x2 = 0 + 4 Combine like terms: 0 + 4 = 4 -1x2 = 4 Divide each side by '-1'. x2 = -4 Simplifying x2 = -4 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 '(27 + -1x2)' equal to zero and attempt to solve: Simplifying 27 + -1x2 = 0 Solving 27 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -1x2 = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -1x2 = 0 + -27 -1x2 = 0 + -27 Combine like terms: 0 + -27 = -27 -1x2 = -27 Divide each side by '-1'. x2 = 27 Simplifying x2 = 27 Take the square root of each side: x = {-5.196152423, 5.196152423}Solution
x = {-5.196152423, 5.196152423}
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