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Simplifying 7f2 + 12f + -4 = 0 Reorder the terms: -4 + 12f + 7f2 = 0 Solving -4 + 12f + 7f2 = 0 Solving for variable 'f'. Factor a trinomial. (-2 + -1f)(2 + -7f) = 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 '(2 + -7f)' equal to zero and attempt to solve: Simplifying 2 + -7f = 0 Solving 2 + -7f = 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 + -7f = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7f = 0 + -2 -7f = 0 + -2 Combine like terms: 0 + -2 = -2 -7f = -2 Divide each side by '-7'. f = 0.2857142857 Simplifying f = 0.2857142857Solution
f = {-2, 0.2857142857}
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