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Simplifying 5f2 + -30f + 40 = 0 Reorder the terms: 40 + -30f + 5f2 = 0 Solving 40 + -30f + 5f2 = 0 Solving for variable 'f'. Factor out the Greatest Common Factor (GCF), '5'. 5(8 + -6f + f2) = 0 Factor a trinomial. 5((2 + -1f)(4 + -1f)) = 0 Ignore the factor 5.Subproblem 1
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 = 2Subproblem 2
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 = {2, 4}
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