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Simplifying 18u6 = 16u4 Solving 18u6 = 16u4 Solving for variable 'u'. Reorder the terms: -16u4 + 18u6 = 16u4 + -16u4 Combine like terms: 16u4 + -16u4 = 0 -16u4 + 18u6 = 0 Factor out the Greatest Common Factor (GCF), '2u4'. 2u4(-8 + 9u2) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'u4' equal to zero and attempt to solve: Simplifying u4 = 0 Solving u4 = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u4 = 0 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 '(-8 + 9u2)' equal to zero and attempt to solve: Simplifying -8 + 9u2 = 0 Solving -8 + 9u2 = 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 + 9u2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 9u2 = 0 + 8 9u2 = 0 + 8 Combine like terms: 0 + 8 = 8 9u2 = 8 Divide each side by '9'. u2 = 0.8888888889 Simplifying u2 = 0.8888888889 Take the square root of each side: u = {-0.942809042, 0.942809042}Solution
u = {-0.942809042, 0.942809042}
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