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Simplifying 4f2 + -15f + 14 = 0 Reorder the terms: 14 + -15f + 4f2 = 0 Solving 14 + -15f + 4f2 = 0 Solving for variable 'f'. Factor a trinomial. (7 + -4f)(2 + -1f) = 0Subproblem 1
Set the factor '(7 + -4f)' equal to zero and attempt to solve: Simplifying 7 + -4f = 0 Solving 7 + -4f = 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 + -4f = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4f = 0 + -7 -4f = 0 + -7 Combine like terms: 0 + -7 = -7 -4f = -7 Divide each side by '-4'. f = 1.75 Simplifying f = 1.75Subproblem 2
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 = 2Solution
f = {1.75, 2}
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