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Simplifying (u + -7)(u + 7) = 0 Reorder the terms: (-7 + u)(u + 7) = 0 Reorder the terms: (-7 + u)(7 + u) = 0 Multiply (-7 + u) * (7 + u) (-7(7 + u) + u(7 + u)) = 0 ((7 * -7 + u * -7) + u(7 + u)) = 0 ((-49 + -7u) + u(7 + u)) = 0 (-49 + -7u + (7 * u + u * u)) = 0 (-49 + -7u + (7u + u2)) = 0 Combine like terms: -7u + 7u = 0 (-49 + 0 + u2) = 0 (-49 + u2) = 0 Solving -49 + u2 = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + u2 = 0 + 49 Combine like terms: -49 + 49 = 0 0 + u2 = 0 + 49 u2 = 0 + 49 Combine like terms: 0 + 49 = 49 u2 = 49 Simplifying u2 = 49 Take the square root of each side: u = {-7, 7}
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