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Simplifying 50s2 + 40sf + 8f2 = 0 Reorder the terms: 40fs + 8f2 + 50s2 = 0 Solving 40fs + 8f2 + 50s2 = 0 Solving for variable 'f'. Factor out the Greatest Common Factor (GCF), '2'. 2(20fs + 4f2 + 25s2) = 0 Factor a trinomial. 2((2f + 5s)(2f + 5s)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2f + 5s)' equal to zero and attempt to solve: Simplifying 2f + 5s = 0 Solving 2f + 5s = 0 Move all terms containing f to the left, all other terms to the right. Add '-5s' to each side of the equation. 2f + 5s + -5s = 0 + -5s Combine like terms: 5s + -5s = 0 2f + 0 = 0 + -5s 2f = 0 + -5s Remove the zero: 2f = -5s Divide each side by '2'. f = -2.5s Simplifying f = -2.5sSubproblem 2
Set the factor '(2f + 5s)' equal to zero and attempt to solve: Simplifying 2f + 5s = 0 Solving 2f + 5s = 0 Move all terms containing f to the left, all other terms to the right. Add '-5s' to each side of the equation. 2f + 5s + -5s = 0 + -5s Combine like terms: 5s + -5s = 0 2f + 0 = 0 + -5s 2f = 0 + -5s Remove the zero: 2f = -5s Divide each side by '2'. f = -2.5s Simplifying f = -2.5sSolution
f = {-2.5s, -2.5s}
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