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Simplifying (2s + 6)(2s + -6) = 0 Reorder the terms: (6 + 2s)(2s + -6) = 0 Reorder the terms: (6 + 2s)(-6 + 2s) = 0 Multiply (6 + 2s) * (-6 + 2s) (6(-6 + 2s) + 2s * (-6 + 2s)) = 0 ((-6 * 6 + 2s * 6) + 2s * (-6 + 2s)) = 0 ((-36 + 12s) + 2s * (-6 + 2s)) = 0 (-36 + 12s + (-6 * 2s + 2s * 2s)) = 0 (-36 + 12s + (-12s + 4s2)) = 0 Combine like terms: 12s + -12s = 0 (-36 + 0 + 4s2) = 0 (-36 + 4s2) = 0 Solving -36 + 4s2 = 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 + 4s2 = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 4s2 = 0 + 36 4s2 = 0 + 36 Combine like terms: 0 + 36 = 36 4s2 = 36 Divide each side by '4'. s2 = 9 Simplifying s2 = 9 Take the square root of each side: s = {-3, 3}
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