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Simplifying 6u4 + 6u2 + -36 = 0 Reorder the terms: -36 + 6u2 + 6u4 = 0 Solving -36 + 6u2 + 6u4 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '6'. 6(-6 + u2 + u4) = 0 Factor a trinomial. 6((-3 + -1u2)(2 + -1u2)) = 0 Ignore the factor 6.Subproblem 1
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 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 '(2 + -1u2)' equal to zero and attempt to solve: Simplifying 2 + -1u2 = 0 Solving 2 + -1u2 = 0 Move all terms containing u to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1u2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1u2 = 0 + -2 -1u2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1u2 = -2 Divide each side by '-1'. u2 = 2 Simplifying u2 = 2 Take the square root of each side: u = {-1.414213562, 1.414213562}Solution
u = {-1.414213562, 1.414213562}
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