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Simplifying (f + 9)(f + 7) = 0 Reorder the terms: (9 + f)(f + 7) = 0 Reorder the terms: (9 + f)(7 + f) = 0 Multiply (9 + f) * (7 + f) (9(7 + f) + f(7 + f)) = 0 ((7 * 9 + f * 9) + f(7 + f)) = 0 ((63 + 9f) + f(7 + f)) = 0 (63 + 9f + (7 * f + f * f)) = 0 (63 + 9f + (7f + f2)) = 0 Combine like terms: 9f + 7f = 16f (63 + 16f + f2) = 0 Solving 63 + 16f + f2 = 0 Solving for variable 'f'. Factor a trinomial. (9 + f)(7 + f) = 0Subproblem 1
Set the factor '(9 + f)' equal to zero and attempt to solve: Simplifying 9 + f = 0 Solving 9 + f = 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 + f = 0 + -9 Combine like terms: 9 + -9 = 0 0 + f = 0 + -9 f = 0 + -9 Combine like terms: 0 + -9 = -9 f = -9 Simplifying f = -9Subproblem 2
Set the factor '(7 + f)' equal to zero and attempt to solve: Simplifying 7 + f = 0 Solving 7 + f = 0 Move all terms containing f to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + f = 0 + -7 Combine like terms: 7 + -7 = 0 0 + f = 0 + -7 f = 0 + -7 Combine like terms: 0 + -7 = -7 f = -7 Simplifying f = -7Solution
f = {-9, -7}
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