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Simplifying 25s2 + 40sf + 16f2 = 0 Reorder the terms: 40fs + 16f2 + 25s2 = 0 Solving 40fs + 16f2 + 25s2 = 0 Solving for variable 'f'. Factor a trinomial. (4f + 5s)(4f + 5s) = 0Subproblem 1
Set the factor '(4f + 5s)' equal to zero and attempt to solve: Simplifying 4f + 5s = 0 Solving 4f + 5s = 0 Move all terms containing f to the left, all other terms to the right. Add '-5s' to each side of the equation. 4f + 5s + -5s = 0 + -5s Combine like terms: 5s + -5s = 0 4f + 0 = 0 + -5s 4f = 0 + -5s Remove the zero: 4f = -5s Divide each side by '4'. f = -1.25s Simplifying f = -1.25sSubproblem 2
Set the factor '(4f + 5s)' equal to zero and attempt to solve: Simplifying 4f + 5s = 0 Solving 4f + 5s = 0 Move all terms containing f to the left, all other terms to the right. Add '-5s' to each side of the equation. 4f + 5s + -5s = 0 + -5s Combine like terms: 5s + -5s = 0 4f + 0 = 0 + -5s 4f = 0 + -5s Remove the zero: 4f = -5s Divide each side by '4'. f = -1.25s Simplifying f = -1.25sSolution
f = {-1.25s, -1.25s}
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