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Simplifying 2f3 + -20f2 + 18f = 0 Reorder the terms: 18f + -20f2 + 2f3 = 0 Solving 18f + -20f2 + 2f3 = 0 Solving for variable 'f'. Factor out the Greatest Common Factor (GCF), '2f'. 2f(9 + -10f + f2) = 0 Factor a trinomial. 2f((1 + -1f)(9 + -1f)) = 0 Ignore the factor 2.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 '(1 + -1f)' equal to zero and attempt to solve: Simplifying 1 + -1f = 0 Solving 1 + -1f = 0 Move all terms containing f to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1f = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1f = 0 + -1 -1f = 0 + -1 Combine like terms: 0 + -1 = -1 -1f = -1 Divide each side by '-1'. f = 1 Simplifying f = 1Subproblem 3
Set the factor '(9 + -1f)' equal to zero and attempt to solve: Simplifying 9 + -1f = 0 Solving 9 + -1f = 0 Move all terms containing f to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1f = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1f = 0 + -9 -1f = 0 + -9 Combine like terms: 0 + -9 = -9 -1f = -9 Divide each side by '-1'. f = 9 Simplifying f = 9Solution
f = {0, 1, 9}
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