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Simplifying 9r2 + -24rf + 16f2 = 0 Reorder the terms: -24fr + 16f2 + 9r2 = 0 Solving -24fr + 16f2 + 9r2 = 0 Solving for variable 'f'. Factor a trinomial. (4f + -3r)(4f + -3r) = 0Subproblem 1
Set the factor '(4f + -3r)' equal to zero and attempt to solve: Simplifying 4f + -3r = 0 Solving 4f + -3r = 0 Move all terms containing f to the left, all other terms to the right. Add '3r' to each side of the equation. 4f + -3r + 3r = 0 + 3r Combine like terms: -3r + 3r = 0 4f + 0 = 0 + 3r 4f = 0 + 3r Remove the zero: 4f = 3r Divide each side by '4'. f = 0.75r Simplifying f = 0.75rSubproblem 2
Set the factor '(4f + -3r)' equal to zero and attempt to solve: Simplifying 4f + -3r = 0 Solving 4f + -3r = 0 Move all terms containing f to the left, all other terms to the right. Add '3r' to each side of the equation. 4f + -3r + 3r = 0 + 3r Combine like terms: -3r + 3r = 0 4f + 0 = 0 + 3r 4f = 0 + 3r Remove the zero: 4f = 3r Divide each side by '4'. f = 0.75r Simplifying f = 0.75rSolution
f = {0.75r, 0.75r}
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