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Simplifying r2 + 16rf + 64f2 = 0 Reorder the terms: 16fr + 64f2 + r2 = 0 Solving 16fr + 64f2 + r2 = 0 Solving for variable 'f'. Factor a trinomial. (8f + r)(8f + r) = 0Subproblem 1
Set the factor '(8f + r)' equal to zero and attempt to solve: Simplifying 8f + r = 0 Solving 8f + r = 0 Move all terms containing f to the left, all other terms to the right. Add '-1r' to each side of the equation. 8f + r + -1r = 0 + -1r Combine like terms: r + -1r = 0 8f + 0 = 0 + -1r 8f = 0 + -1r Remove the zero: 8f = -1r Divide each side by '8'. f = -0.125r Simplifying f = -0.125rSubproblem 2
Set the factor '(8f + r)' equal to zero and attempt to solve: Simplifying 8f + r = 0 Solving 8f + r = 0 Move all terms containing f to the left, all other terms to the right. Add '-1r' to each side of the equation. 8f + r + -1r = 0 + -1r Combine like terms: r + -1r = 0 8f + 0 = 0 + -1r 8f = 0 + -1r Remove the zero: 8f = -1r Divide each side by '8'. f = -0.125r Simplifying f = -0.125rSolution
f = {-0.125r, -0.125r}
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