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Simplifying (f + -9)(f + 9) = 0 Reorder the terms: (-9 + f)(f + 9) = 0 Reorder the terms: (-9 + f)(9 + f) = 0 Multiply (-9 + f) * (9 + f) (-9(9 + f) + f(9 + f)) = 0 ((9 * -9 + f * -9) + f(9 + f)) = 0 ((-81 + -9f) + f(9 + f)) = 0 (-81 + -9f + (9 * f + f * f)) = 0 (-81 + -9f + (9f + f2)) = 0 Combine like terms: -9f + 9f = 0 (-81 + 0 + f2) = 0 (-81 + f2) = 0 Solving -81 + f2 = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 81 + f2 = 0 + 81 Combine like terms: -81 + 81 = 0 0 + f2 = 0 + 81 f2 = 0 + 81 Combine like terms: 0 + 81 = 81 f2 = 81 Simplifying f2 = 81 Take the square root of each side: f = {-9, 9}
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