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Simplifying (11 + 2f)(11 + -2f) = 0 Multiply (11 + 2f) * (11 + -2f) (11(11 + -2f) + 2f * (11 + -2f)) = 0 ((11 * 11 + -2f * 11) + 2f * (11 + -2f)) = 0 ((121 + -22f) + 2f * (11 + -2f)) = 0 (121 + -22f + (11 * 2f + -2f * 2f)) = 0 (121 + -22f + (22f + -4f2)) = 0 Combine like terms: -22f + 22f = 0 (121 + 0 + -4f2) = 0 (121 + -4f2) = 0 Solving 121 + -4f2 = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-121' to each side of the equation. 121 + -121 + -4f2 = 0 + -121 Combine like terms: 121 + -121 = 0 0 + -4f2 = 0 + -121 -4f2 = 0 + -121 Combine like terms: 0 + -121 = -121 -4f2 = -121 Divide each side by '-4'. f2 = 30.25 Simplifying f2 = 30.25 Take the square root of each side: f = {-5.5, 5.5}
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