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Simplifying 9f2 + 18f + 8 = 0 Reorder the terms: 8 + 18f + 9f2 = 0 Solving 8 + 18f + 9f2 = 0 Solving for variable 'f'. Factor a trinomial. (4 + 3f)(2 + 3f) = 0Subproblem 1
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 = -1.333333333Subproblem 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 = {-1.333333333, -0.6666666667}
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