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Simplifying -4f3 + -14f2 + 8f = 0 Reorder the terms: 8f + -14f2 + -4f3 = 0 Solving 8f + -14f2 + -4f3 = 0 Solving for variable 'f'. Factor out the Greatest Common Factor (GCF), '2f'. 2f(4 + -7f + -2f2) = 0 Factor a trinomial. 2f((1 + -2f)(4 + f)) = 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 + -2f)' equal to zero and attempt to solve: Simplifying 1 + -2f = 0 Solving 1 + -2f = 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 + -2f = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2f = 0 + -1 -2f = 0 + -1 Combine like terms: 0 + -1 = -1 -2f = -1 Divide each side by '-2'. f = 0.5 Simplifying f = 0.5Subproblem 3
Set the factor '(4 + f)' equal to zero and attempt to solve: Simplifying 4 + f = 0 Solving 4 + f = 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 + f = 0 + -4 Combine like terms: 4 + -4 = 0 0 + f = 0 + -4 f = 0 + -4 Combine like terms: 0 + -4 = -4 f = -4 Simplifying f = -4Solution
f = {0, 0.5, -4}
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