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Simplifying (9f + 5)(9f + 2) = 0 Reorder the terms: (5 + 9f)(9f + 2) = 0 Reorder the terms: (5 + 9f)(2 + 9f) = 0 Multiply (5 + 9f) * (2 + 9f) (5(2 + 9f) + 9f * (2 + 9f)) = 0 ((2 * 5 + 9f * 5) + 9f * (2 + 9f)) = 0 ((10 + 45f) + 9f * (2 + 9f)) = 0 (10 + 45f + (2 * 9f + 9f * 9f)) = 0 (10 + 45f + (18f + 81f2)) = 0 Combine like terms: 45f + 18f = 63f (10 + 63f + 81f2) = 0 Solving 10 + 63f + 81f2 = 0 Solving for variable 'f'. Factor a trinomial. (5 + 9f)(2 + 9f) = 0Subproblem 1
Set the factor '(5 + 9f)' equal to zero and attempt to solve: Simplifying 5 + 9f = 0 Solving 5 + 9f = 0 Move all terms containing f to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 9f = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 9f = 0 + -5 9f = 0 + -5 Combine like terms: 0 + -5 = -5 9f = -5 Divide each side by '9'. f = -0.5555555556 Simplifying f = -0.5555555556Subproblem 2
Set the factor '(2 + 9f)' equal to zero and attempt to solve: Simplifying 2 + 9f = 0 Solving 2 + 9f = 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 + 9f = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 9f = 0 + -2 9f = 0 + -2 Combine like terms: 0 + -2 = -2 9f = -2 Divide each side by '9'. f = -0.2222222222 Simplifying f = -0.2222222222Solution
f = {-0.5555555556, -0.2222222222}
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