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Simplifying (s + -6)(s + 6) = 0 Reorder the terms: (-6 + s)(s + 6) = 0 Reorder the terms: (-6 + s)(6 + s) = 0 Multiply (-6 + s) * (6 + s) (-6(6 + s) + s(6 + s)) = 0 ((6 * -6 + s * -6) + s(6 + s)) = 0 ((-36 + -6s) + s(6 + s)) = 0 (-36 + -6s + (6 * s + s * s)) = 0 (-36 + -6s + (6s + s2)) = 0 Combine like terms: -6s + 6s = 0 (-36 + 0 + s2) = 0 (-36 + s2) = 0 Solving -36 + s2 = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + s2 = 0 + 36 Combine like terms: -36 + 36 = 0 0 + s2 = 0 + 36 s2 = 0 + 36 Combine like terms: 0 + 36 = 36 s2 = 36 Simplifying s2 = 36 Take the square root of each side: s = {-6, 6}
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