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Simplifying 14f + -8 = 3f2 Reorder the terms: -8 + 14f = 3f2 Solving -8 + 14f = 3f2 Solving for variable 'f'. Combine like terms: 3f2 + -3f2 = 0 -8 + 14f + -3f2 = 0 Factor a trinomial. (-4 + f)(2 + -3f) = 0Subproblem 1
Set the factor '(-4 + f)' equal to zero and attempt to solve: Simplifying -4 + f = 0 Solving -4 + f = 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 + f = 0 + 4 Combine like terms: -4 + 4 = 0 0 + f = 0 + 4 f = 0 + 4 Combine like terms: 0 + 4 = 4 f = 4 Simplifying f = 4Subproblem 2
Set the factor '(2 + -3f)' equal to zero and attempt to solve: Simplifying 2 + -3f = 0 Solving 2 + -3f = 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 + -3f = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3f = 0 + -2 -3f = 0 + -2 Combine like terms: 0 + -2 = -2 -3f = -2 Divide each side by '-3'. f = 0.6666666667 Simplifying f = 0.6666666667Solution
f = {4, 0.6666666667}
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