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Simplifying -48uv + 16u2 + 80u = 0 Reorder the terms: 80u + -48uv + 16u2 = 0 Solving 80u + -48uv + 16u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '16u'. 16u(5 + -3v + u) = 0 Ignore the factor 16.Subproblem 1
Set the factor 'u' equal to zero and attempt to solve: Simplifying u = 0 Solving u = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u = 0Subproblem 2
Set the factor '(5 + -3v + u)' equal to zero and attempt to solve: Simplifying 5 + -3v + u = 0 Reorder the terms: 5 + u + -3v = 0 Solving 5 + u + -3v = 0 Move all terms containing u to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + u + -5 + -3v = 0 + -5 Reorder the terms: 5 + -5 + u + -3v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + u + -3v = 0 + -5 u + -3v = 0 + -5 Combine like terms: 0 + -5 = -5 u + -3v = -5 Add '3v' to each side of the equation. u + -3v + 3v = -5 + 3v Combine like terms: -3v + 3v = 0 u + 0 = -5 + 3v u = -5 + 3v Simplifying u = -5 + 3vSolution
u = {0, -5 + 3v}
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