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Simplifying f2 + -3f + -28 = 0 Reorder the terms: -28 + -3f + f2 = 0 Solving -28 + -3f + f2 = 0 Solving for variable 'f'. Factor a trinomial. (-4 + -1f)(7 + -1f) = 0Subproblem 1
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 = -4Subproblem 2
Set the factor '(7 + -1f)' equal to zero and attempt to solve: Simplifying 7 + -1f = 0 Solving 7 + -1f = 0 Move all terms containing f to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1f = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1f = 0 + -7 -1f = 0 + -7 Combine like terms: 0 + -7 = -7 -1f = -7 Divide each side by '-1'. f = 7 Simplifying f = 7Solution
f = {-4, 7}
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