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Simplifying 3f2 + 3f + -18 = 0 Reorder the terms: -18 + 3f + 3f2 = 0 Solving -18 + 3f + 3f2 = 0 Solving for variable 'f'. Factor out the Greatest Common Factor (GCF), '3'. 3(-6 + f + f2) = 0 Factor a trinomial. 3((-3 + -1f)(2 + -1f)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-3 + -1f)' equal to zero and attempt to solve: Simplifying -3 + -1f = 0 Solving -3 + -1f = 0 Move all terms containing f to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1f = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1f = 0 + 3 -1f = 0 + 3 Combine like terms: 0 + 3 = 3 -1f = 3 Divide each side by '-1'. f = -3 Simplifying f = -3Subproblem 2
Set the factor '(2 + -1f)' equal to zero and attempt to solve: Simplifying 2 + -1f = 0 Solving 2 + -1f = 0 Move all terms containing f to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1f = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1f = 0 + -2 -1f = 0 + -2 Combine like terms: 0 + -2 = -2 -1f = -2 Divide each side by '-1'. f = 2 Simplifying f = 2Solution
f = {-3, 2}
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