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Simplifying 25s2 + 60sf + 36f2 = 0 Reorder the terms: 60fs + 36f2 + 25s2 = 0 Solving 60fs + 36f2 + 25s2 = 0 Solving for variable 'f'. Factor a trinomial. (6f + 5s)(6f + 5s) = 0Subproblem 1
Set the factor '(6f + 5s)' equal to zero and attempt to solve: Simplifying 6f + 5s = 0 Solving 6f + 5s = 0 Move all terms containing f to the left, all other terms to the right. Add '-5s' to each side of the equation. 6f + 5s + -5s = 0 + -5s Combine like terms: 5s + -5s = 0 6f + 0 = 0 + -5s 6f = 0 + -5s Remove the zero: 6f = -5s Divide each side by '6'. f = -0.8333333333s Simplifying f = -0.8333333333sSubproblem 2
Set the factor '(6f + 5s)' equal to zero and attempt to solve: Simplifying 6f + 5s = 0 Solving 6f + 5s = 0 Move all terms containing f to the left, all other terms to the right. Add '-5s' to each side of the equation. 6f + 5s + -5s = 0 + -5s Combine like terms: 5s + -5s = 0 6f + 0 = 0 + -5s 6f = 0 + -5s Remove the zero: 6f = -5s Divide each side by '6'. f = -0.8333333333s Simplifying f = -0.8333333333sSolution
f = {-0.8333333333s, -0.8333333333s}
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