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Simplifying (x4) + -44(x2) + -45 = 0 x4 + -44(x2) + -45 = 0 Reorder the terms: -45 + -44x2 + x4 = 0 Solving -45 + -44x2 + x4 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -1x2)(45 + -1x2) = 0Subproblem 1
Set the factor '(-1 + -1x2)' equal to zero and attempt to solve: Simplifying -1 + -1x2 = 0 Solving -1 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x2 = 0 + 1 -1x2 = 0 + 1 Combine like terms: 0 + 1 = 1 -1x2 = 1 Divide each side by '-1'. x2 = -1 Simplifying x2 = -1 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 '(45 + -1x2)' equal to zero and attempt to solve: Simplifying 45 + -1x2 = 0 Solving 45 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -1x2 = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -1x2 = 0 + -45 -1x2 = 0 + -45 Combine like terms: 0 + -45 = -45 -1x2 = -45 Divide each side by '-1'. x2 = 45 Simplifying x2 = 45 Take the square root of each side: x = {-6.708203933, 6.708203933}Solution
x = {-6.708203933, 6.708203933}
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