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Simplifying u4 + 5u2 + -24 = 0 Reorder the terms: -24 + 5u2 + u4 = 0 Solving -24 + 5u2 + u4 = 0 Solving for variable 'u'. Factor a trinomial. (-8 + -1u2)(3 + -1u2) = 0Subproblem 1
Set the factor '(-8 + -1u2)' equal to zero and attempt to solve: Simplifying -8 + -1u2 = 0 Solving -8 + -1u2 = 0 Move all terms containing u to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1u2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1u2 = 0 + 8 -1u2 = 0 + 8 Combine like terms: 0 + 8 = 8 -1u2 = 8 Divide each side by '-1'. u2 = -8 Simplifying u2 = -8 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 '(3 + -1u2)' equal to zero and attempt to solve: Simplifying 3 + -1u2 = 0 Solving 3 + -1u2 = 0 Move all terms containing u to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1u2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1u2 = 0 + -3 -1u2 = 0 + -3 Combine like terms: 0 + -3 = -3 -1u2 = -3 Divide each side by '-1'. u2 = 3 Simplifying u2 = 3 Take the square root of each side: u = {-1.732050808, 1.732050808}Solution
u = {-1.732050808, 1.732050808}
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