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Simplifying 3f3 + -3f2 + -36f = 0 Reorder the terms: -36f + -3f2 + 3f3 = 0 Solving -36f + -3f2 + 3f3 = 0 Solving for variable 'f'. Factor out the Greatest Common Factor (GCF), '3f'. 3f(-12 + -1f + f2) = 0 Factor a trinomial. 3f((-3 + -1f)(4 + -1f)) = 0 Ignore the factor 3.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 '(-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 3
Set the factor '(4 + -1f)' equal to zero and attempt to solve: Simplifying 4 + -1f = 0 Solving 4 + -1f = 0 Move all terms containing f to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1f = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1f = 0 + -4 -1f = 0 + -4 Combine like terms: 0 + -4 = -4 -1f = -4 Divide each side by '-1'. f = 4 Simplifying f = 4Solution
f = {0, -3, 4}
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