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Simplifying (6s + -12)(2s + 4) = 0 Reorder the terms: (-12 + 6s)(2s + 4) = 0 Reorder the terms: (-12 + 6s)(4 + 2s) = 0 Multiply (-12 + 6s) * (4 + 2s) (-12(4 + 2s) + 6s * (4 + 2s)) = 0 ((4 * -12 + 2s * -12) + 6s * (4 + 2s)) = 0 ((-48 + -24s) + 6s * (4 + 2s)) = 0 (-48 + -24s + (4 * 6s + 2s * 6s)) = 0 (-48 + -24s + (24s + 12s2)) = 0 Combine like terms: -24s + 24s = 0 (-48 + 0 + 12s2) = 0 (-48 + 12s2) = 0 Solving -48 + 12s2 = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 12s2 = 0 + 48 Combine like terms: -48 + 48 = 0 0 + 12s2 = 0 + 48 12s2 = 0 + 48 Combine like terms: 0 + 48 = 48 12s2 = 48 Divide each side by '12'. s2 = 4 Simplifying s2 = 4 Take the square root of each side: s = {-2, 2}
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