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Simplifying (9f + -8)(-6f + -1) = 0 Reorder the terms: (-8 + 9f)(-6f + -1) = 0 Reorder the terms: (-8 + 9f)(-1 + -6f) = 0 Multiply (-8 + 9f) * (-1 + -6f) (-8(-1 + -6f) + 9f * (-1 + -6f)) = 0 ((-1 * -8 + -6f * -8) + 9f * (-1 + -6f)) = 0 ((8 + 48f) + 9f * (-1 + -6f)) = 0 (8 + 48f + (-1 * 9f + -6f * 9f)) = 0 (8 + 48f + (-9f + -54f2)) = 0 Combine like terms: 48f + -9f = 39f (8 + 39f + -54f2) = 0 Solving 8 + 39f + -54f2 = 0 Solving for variable 'f'. Factor a trinomial. (8 + -9f)(1 + 6f) = 0Subproblem 1
Set the factor '(8 + -9f)' equal to zero and attempt to solve: Simplifying 8 + -9f = 0 Solving 8 + -9f = 0 Move all terms containing f to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -9f = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -9f = 0 + -8 -9f = 0 + -8 Combine like terms: 0 + -8 = -8 -9f = -8 Divide each side by '-9'. f = 0.8888888889 Simplifying f = 0.8888888889Subproblem 2
Set the factor '(1 + 6f)' equal to zero and attempt to solve: Simplifying 1 + 6f = 0 Solving 1 + 6f = 0 Move all terms containing f to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 6f = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6f = 0 + -1 6f = 0 + -1 Combine like terms: 0 + -1 = -1 6f = -1 Divide each side by '6'. f = -0.1666666667 Simplifying f = -0.1666666667Solution
f = {0.8888888889, -0.1666666667}
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