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Simplifying (4f + -9)(8f + -1) = 0 Reorder the terms: (-9 + 4f)(8f + -1) = 0 Reorder the terms: (-9 + 4f)(-1 + 8f) = 0 Multiply (-9 + 4f) * (-1 + 8f) (-9(-1 + 8f) + 4f * (-1 + 8f)) = 0 ((-1 * -9 + 8f * -9) + 4f * (-1 + 8f)) = 0 ((9 + -72f) + 4f * (-1 + 8f)) = 0 (9 + -72f + (-1 * 4f + 8f * 4f)) = 0 (9 + -72f + (-4f + 32f2)) = 0 Combine like terms: -72f + -4f = -76f (9 + -76f + 32f2) = 0 Solving 9 + -76f + 32f2 = 0 Solving for variable 'f'. Factor a trinomial. (1 + -8f)(9 + -4f) = 0Subproblem 1
Set the factor '(1 + -8f)' equal to zero and attempt to solve: Simplifying 1 + -8f = 0 Solving 1 + -8f = 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 + -8f = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8f = 0 + -1 -8f = 0 + -1 Combine like terms: 0 + -1 = -1 -8f = -1 Divide each side by '-8'. f = 0.125 Simplifying f = 0.125Subproblem 2
Set the factor '(9 + -4f)' equal to zero and attempt to solve: Simplifying 9 + -4f = 0 Solving 9 + -4f = 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 + -4f = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4f = 0 + -9 -4f = 0 + -9 Combine like terms: 0 + -9 = -9 -4f = -9 Divide each side by '-4'. f = 2.25 Simplifying f = 2.25Solution
f = {0.125, 2.25}
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