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Simplifying (f + 4)(f + -4) = 0 Reorder the terms: (4 + f)(f + -4) = 0 Reorder the terms: (4 + f)(-4 + f) = 0 Multiply (4 + f) * (-4 + f) (4(-4 + f) + f(-4 + f)) = 0 ((-4 * 4 + f * 4) + f(-4 + f)) = 0 ((-16 + 4f) + f(-4 + f)) = 0 (-16 + 4f + (-4 * f + f * f)) = 0 (-16 + 4f + (-4f + f2)) = 0 Combine like terms: 4f + -4f = 0 (-16 + 0 + f2) = 0 (-16 + f2) = 0 Solving -16 + f2 = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + f2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + f2 = 0 + 16 f2 = 0 + 16 Combine like terms: 0 + 16 = 16 f2 = 16 Simplifying f2 = 16 Take the square root of each side: f = {-4, 4}
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