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Simplifying (f + -5)(f + 5) = 0 Reorder the terms: (-5 + f)(f + 5) = 0 Reorder the terms: (-5 + f)(5 + f) = 0 Multiply (-5 + f) * (5 + f) (-5(5 + f) + f(5 + f)) = 0 ((5 * -5 + f * -5) + f(5 + f)) = 0 ((-25 + -5f) + f(5 + f)) = 0 (-25 + -5f + (5 * f + f * f)) = 0 (-25 + -5f + (5f + f2)) = 0 Combine like terms: -5f + 5f = 0 (-25 + 0 + f2) = 0 (-25 + f2) = 0 Solving -25 + f2 = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + f2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + f2 = 0 + 25 f2 = 0 + 25 Combine like terms: 0 + 25 = 25 f2 = 25 Simplifying f2 = 25 Take the square root of each side: f = {-5, 5}
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