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Simplifying 2f2 + -3f + -14 = 0 Reorder the terms: -14 + -3f + 2f2 = 0 Solving -14 + -3f + 2f2 = 0 Solving for variable 'f'. Factor a trinomial. (-2 + -1f)(7 + -2f) = 0Subproblem 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 '(7 + -2f)' equal to zero and attempt to solve: Simplifying 7 + -2f = 0 Solving 7 + -2f = 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 + -2f = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2f = 0 + -7 -2f = 0 + -7 Combine like terms: 0 + -7 = -7 -2f = -7 Divide each side by '-2'. f = 3.5 Simplifying f = 3.5Solution
f = {-2, 3.5}
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