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Simplifying 7f3 + 11f2 + 4f = 0 Reorder the terms: 4f + 11f2 + 7f3 = 0 Solving 4f + 11f2 + 7f3 = 0 Solving for variable 'f'. Factor out the Greatest Common Factor (GCF), 'f'. f(4 + 11f + 7f2) = 0 Factor a trinomial. f((1 + f)(4 + 7f)) = 0Subproblem 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 + f)' equal to zero and attempt to solve: Simplifying 1 + f = 0 Solving 1 + f = 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 + f = 0 + -1 Combine like terms: 1 + -1 = 0 0 + f = 0 + -1 f = 0 + -1 Combine like terms: 0 + -1 = -1 f = -1 Simplifying f = -1Subproblem 3
Set the factor '(4 + 7f)' equal to zero and attempt to solve: Simplifying 4 + 7f = 0 Solving 4 + 7f = 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 + 7f = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7f = 0 + -4 7f = 0 + -4 Combine like terms: 0 + -4 = -4 7f = -4 Divide each side by '7'. f = -0.5714285714 Simplifying f = -0.5714285714Solution
f = {0, -1, -0.5714285714}
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