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Simplifying 25w2 + 40wf + 16f2 = 0 Reorder the terms: 40fw + 16f2 + 25w2 = 0 Solving 40fw + 16f2 + 25w2 = 0 Solving for variable 'f'. Factor a trinomial. (4f + 5w)(4f + 5w) = 0Subproblem 1
Set the factor '(4f + 5w)' equal to zero and attempt to solve: Simplifying 4f + 5w = 0 Solving 4f + 5w = 0 Move all terms containing f to the left, all other terms to the right. Add '-5w' to each side of the equation. 4f + 5w + -5w = 0 + -5w Combine like terms: 5w + -5w = 0 4f + 0 = 0 + -5w 4f = 0 + -5w Remove the zero: 4f = -5w Divide each side by '4'. f = -1.25w Simplifying f = -1.25wSubproblem 2
Set the factor '(4f + 5w)' equal to zero and attempt to solve: Simplifying 4f + 5w = 0 Solving 4f + 5w = 0 Move all terms containing f to the left, all other terms to the right. Add '-5w' to each side of the equation. 4f + 5w + -5w = 0 + -5w Combine like terms: 5w + -5w = 0 4f + 0 = 0 + -5w 4f = 0 + -5w Remove the zero: 4f = -5w Divide each side by '4'. f = -1.25w Simplifying f = -1.25wSolution
f = {-1.25w, -1.25w}
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