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Simplifying 16r2 + 72rf + 81f2 = 0 Reorder the terms: 72fr + 81f2 + 16r2 = 0 Solving 72fr + 81f2 + 16r2 = 0 Solving for variable 'f'. Factor a trinomial. (9f + 4r)(9f + 4r) = 0Subproblem 1
Set the factor '(9f + 4r)' equal to zero and attempt to solve: Simplifying 9f + 4r = 0 Solving 9f + 4r = 0 Move all terms containing f to the left, all other terms to the right. Add '-4r' to each side of the equation. 9f + 4r + -4r = 0 + -4r Combine like terms: 4r + -4r = 0 9f + 0 = 0 + -4r 9f = 0 + -4r Remove the zero: 9f = -4r Divide each side by '9'. f = -0.4444444444r Simplifying f = -0.4444444444rSubproblem 2
Set the factor '(9f + 4r)' equal to zero and attempt to solve: Simplifying 9f + 4r = 0 Solving 9f + 4r = 0 Move all terms containing f to the left, all other terms to the right. Add '-4r' to each side of the equation. 9f + 4r + -4r = 0 + -4r Combine like terms: 4r + -4r = 0 9f + 0 = 0 + -4r 9f = 0 + -4r Remove the zero: 9f = -4r Divide each side by '9'. f = -0.4444444444r Simplifying f = -0.4444444444rSolution
f = {-0.4444444444r, -0.4444444444r}
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