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Simplifying 49f2 + 25s2 + 70sf = 0 Reorder the terms: 70fs + 49f2 + 25s2 = 0 Solving 70fs + 49f2 + 25s2 = 0 Solving for variable 'f'. Factor a trinomial. (7f + 5s)(7f + 5s) = 0Subproblem 1
Set the factor '(7f + 5s)' equal to zero and attempt to solve: Simplifying 7f + 5s = 0 Solving 7f + 5s = 0 Move all terms containing f to the left, all other terms to the right. Add '-5s' to each side of the equation. 7f + 5s + -5s = 0 + -5s Combine like terms: 5s + -5s = 0 7f + 0 = 0 + -5s 7f = 0 + -5s Remove the zero: 7f = -5s Divide each side by '7'. f = -0.7142857143s Simplifying f = -0.7142857143sSubproblem 2
Set the factor '(7f + 5s)' equal to zero and attempt to solve: Simplifying 7f + 5s = 0 Solving 7f + 5s = 0 Move all terms containing f to the left, all other terms to the right. Add '-5s' to each side of the equation. 7f + 5s + -5s = 0 + -5s Combine like terms: 5s + -5s = 0 7f + 0 = 0 + -5s 7f = 0 + -5s Remove the zero: 7f = -5s Divide each side by '7'. f = -0.7142857143s Simplifying f = -0.7142857143sSolution
f = {-0.7142857143s, -0.7142857143s}
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