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Simplifying 16s2 + -56sf + 49f2 = 0 Reorder the terms: -56fs + 49f2 + 16s2 = 0 Solving -56fs + 49f2 + 16s2 = 0 Solving for variable 'f'. Factor a trinomial. (7f + -4s)(7f + -4s) = 0Subproblem 1
Set the factor '(7f + -4s)' equal to zero and attempt to solve: Simplifying 7f + -4s = 0 Solving 7f + -4s = 0 Move all terms containing f to the left, all other terms to the right. Add '4s' to each side of the equation. 7f + -4s + 4s = 0 + 4s Combine like terms: -4s + 4s = 0 7f + 0 = 0 + 4s 7f = 0 + 4s Remove the zero: 7f = 4s Divide each side by '7'. f = 0.5714285714s Simplifying f = 0.5714285714sSubproblem 2
Set the factor '(7f + -4s)' equal to zero and attempt to solve: Simplifying 7f + -4s = 0 Solving 7f + -4s = 0 Move all terms containing f to the left, all other terms to the right. Add '4s' to each side of the equation. 7f + -4s + 4s = 0 + 4s Combine like terms: -4s + 4s = 0 7f + 0 = 0 + 4s 7f = 0 + 4s Remove the zero: 7f = 4s Divide each side by '7'. f = 0.5714285714s Simplifying f = 0.5714285714sSolution
f = {0.5714285714s, 0.5714285714s}
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