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Simplifying (8f + 9)(5f + 4) = 0 Reorder the terms: (9 + 8f)(5f + 4) = 0 Reorder the terms: (9 + 8f)(4 + 5f) = 0 Multiply (9 + 8f) * (4 + 5f) (9(4 + 5f) + 8f * (4 + 5f)) = 0 ((4 * 9 + 5f * 9) + 8f * (4 + 5f)) = 0 ((36 + 45f) + 8f * (4 + 5f)) = 0 (36 + 45f + (4 * 8f + 5f * 8f)) = 0 (36 + 45f + (32f + 40f2)) = 0 Combine like terms: 45f + 32f = 77f (36 + 77f + 40f2) = 0 Solving 36 + 77f + 40f2 = 0 Solving for variable 'f'. Factor a trinomial. (9 + 8f)(4 + 5f) = 0Subproblem 1
Set the factor '(9 + 8f)' equal to zero and attempt to solve: Simplifying 9 + 8f = 0 Solving 9 + 8f = 0 Move all terms containing f to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 8f = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 8f = 0 + -9 8f = 0 + -9 Combine like terms: 0 + -9 = -9 8f = -9 Divide each side by '8'. f = -1.125 Simplifying f = -1.125Subproblem 2
Set the factor '(4 + 5f)' equal to zero and attempt to solve: Simplifying 4 + 5f = 0 Solving 4 + 5f = 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 + 5f = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5f = 0 + -4 5f = 0 + -4 Combine like terms: 0 + -4 = -4 5f = -4 Divide each side by '5'. f = -0.8 Simplifying f = -0.8Solution
f = {-1.125, -0.8}
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