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Simplifying 36r2 + 60rf + 25f2 = 0 Reorder the terms: 60fr + 25f2 + 36r2 = 0 Solving 60fr + 25f2 + 36r2 = 0 Solving for variable 'f'. Factor a trinomial. (5f + 6r)(5f + 6r) = 0Subproblem 1
Set the factor '(5f + 6r)' equal to zero and attempt to solve: Simplifying 5f + 6r = 0 Solving 5f + 6r = 0 Move all terms containing f to the left, all other terms to the right. Add '-6r' to each side of the equation. 5f + 6r + -6r = 0 + -6r Combine like terms: 6r + -6r = 0 5f + 0 = 0 + -6r 5f = 0 + -6r Remove the zero: 5f = -6r Divide each side by '5'. f = -1.2r Simplifying f = -1.2rSubproblem 2
Set the factor '(5f + 6r)' equal to zero and attempt to solve: Simplifying 5f + 6r = 0 Solving 5f + 6r = 0 Move all terms containing f to the left, all other terms to the right. Add '-6r' to each side of the equation. 5f + 6r + -6r = 0 + -6r Combine like terms: 6r + -6r = 0 5f + 0 = 0 + -6r 5f = 0 + -6r Remove the zero: 5f = -6r Divide each side by '5'. f = -1.2r Simplifying f = -1.2rSolution
f = {-1.2r, -1.2r}
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