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Simplifying 25w2 + -60wf + 36f2 = 0 Reorder the terms: -60fw + 36f2 + 25w2 = 0 Solving -60fw + 36f2 + 25w2 = 0 Solving for variable 'f'. Factor a trinomial. (6f + -5w)(6f + -5w) = 0Subproblem 1
Set the factor '(6f + -5w)' equal to zero and attempt to solve: Simplifying 6f + -5w = 0 Solving 6f + -5w = 0 Move all terms containing f to the left, all other terms to the right. Add '5w' to each side of the equation. 6f + -5w + 5w = 0 + 5w Combine like terms: -5w + 5w = 0 6f + 0 = 0 + 5w 6f = 0 + 5w Remove the zero: 6f = 5w Divide each side by '6'. f = 0.8333333333w Simplifying f = 0.8333333333wSubproblem 2
Set the factor '(6f + -5w)' equal to zero and attempt to solve: Simplifying 6f + -5w = 0 Solving 6f + -5w = 0 Move all terms containing f to the left, all other terms to the right. Add '5w' to each side of the equation. 6f + -5w + 5w = 0 + 5w Combine like terms: -5w + 5w = 0 6f + 0 = 0 + 5w 6f = 0 + 5w Remove the zero: 6f = 5w Divide each side by '6'. f = 0.8333333333w Simplifying f = 0.8333333333wSolution
f = {0.8333333333w, 0.8333333333w}
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