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Simplifying 5f2 + 80f + -85 = 0 Reorder the terms: -85 + 80f + 5f2 = 0 Solving -85 + 80f + 5f2 = 0 Solving for variable 'f'. Factor out the Greatest Common Factor (GCF), '5'. 5(-17 + 16f + f2) = 0 Factor a trinomial. 5((-17 + -1f)(1 + -1f)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-17 + -1f)' equal to zero and attempt to solve: Simplifying -17 + -1f = 0 Solving -17 + -1f = 0 Move all terms containing f to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -1f = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -1f = 0 + 17 -1f = 0 + 17 Combine like terms: 0 + 17 = 17 -1f = 17 Divide each side by '-1'. f = -17 Simplifying f = -17Subproblem 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 = 1Solution
f = {-17, 1}
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