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Simplifying f2 + -1rf + -20f2 = 0 Reorder the terms: -1fr + f2 + -20f2 = 0 Combine like terms: f2 + -20f2 = -19f2 -1fr + -19f2 = 0 Solving -1fr + -19f2 = 0 Solving for variable 'f'. Factor out the Greatest Common Factor (GCF), '-1f'. -1f(r + 19f) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'f' equal to zero and attempt to solve: Simplifying f = 0 Solving f = 0 Move all terms containing f to the left, all other terms to the right. Simplifying f = 0Subproblem 2
Set the factor '(r + 19f)' equal to zero and attempt to solve: Simplifying r + 19f = 0 Reorder the terms: 19f + r = 0 Solving 19f + r = 0 Move all terms containing f to the left, all other terms to the right. Add '-1r' to each side of the equation. 19f + r + -1r = 0 + -1r Combine like terms: r + -1r = 0 19f + 0 = 0 + -1r 19f = 0 + -1r Remove the zero: 19f = -1r Divide each side by '19'. f = -0.05263157895r Simplifying f = -0.05263157895rSolution
f = {0, -0.05263157895r}
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