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Simplifying x4 + -45x2 + -144 = 0 Reorder the terms: -144 + -45x2 + x4 = 0 Solving -144 + -45x2 + x4 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -1x2)(48 + -1x2) = 0Subproblem 1
Set the factor '(-3 + -1x2)' equal to zero and attempt to solve: Simplifying -3 + -1x2 = 0 Solving -3 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1x2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x2 = 0 + 3 -1x2 = 0 + 3 Combine like terms: 0 + 3 = 3 -1x2 = 3 Divide each side by '-1'. x2 = -3 Simplifying x2 = -3 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 '(48 + -1x2)' equal to zero and attempt to solve: Simplifying 48 + -1x2 = 0 Solving 48 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -1x2 = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -1x2 = 0 + -48 -1x2 = 0 + -48 Combine like terms: 0 + -48 = -48 -1x2 = -48 Divide each side by '-1'. x2 = 48 Simplifying x2 = 48 Take the square root of each side: x = {-6.92820323, 6.92820323}Solution
x = {-6.92820323, 6.92820323}
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