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Simplifying 25w2 + -40wu + 16u2 = 0 Reorder the terms: -40uw + 16u2 + 25w2 = 0 Solving -40uw + 16u2 + 25w2 = 0 Solving for variable 'u'. Factor a trinomial. (4u + -5w)(4u + -5w) = 0Subproblem 1
Set the factor '(4u + -5w)' equal to zero and attempt to solve: Simplifying 4u + -5w = 0 Solving 4u + -5w = 0 Move all terms containing u to the left, all other terms to the right. Add '5w' to each side of the equation. 4u + -5w + 5w = 0 + 5w Combine like terms: -5w + 5w = 0 4u + 0 = 0 + 5w 4u = 0 + 5w Remove the zero: 4u = 5w Divide each side by '4'. u = 1.25w Simplifying u = 1.25wSubproblem 2
Set the factor '(4u + -5w)' equal to zero and attempt to solve: Simplifying 4u + -5w = 0 Solving 4u + -5w = 0 Move all terms containing u to the left, all other terms to the right. Add '5w' to each side of the equation. 4u + -5w + 5w = 0 + 5w Combine like terms: -5w + 5w = 0 4u + 0 = 0 + 5w 4u = 0 + 5w Remove the zero: 4u = 5w Divide each side by '4'. u = 1.25w Simplifying u = 1.25wSolution
u = {1.25w, 1.25w}
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