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Simplifying 3f2 + -7f + 4 = 0 Reorder the terms: 4 + -7f + 3f2 = 0 Solving 4 + -7f + 3f2 = 0 Solving for variable 'f'. Factor a trinomial. (1 + -1f)(4 + -3f) = 0Subproblem 1
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 = 1Subproblem 2
Set the factor '(4 + -3f)' equal to zero and attempt to solve: Simplifying 4 + -3f = 0 Solving 4 + -3f = 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 + -3f = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3f = 0 + -4 -3f = 0 + -4 Combine like terms: 0 + -4 = -4 -3f = -4 Divide each side by '-3'. f = 1.333333333 Simplifying f = 1.333333333Solution
f = {1, 1.333333333}
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