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Simplifying (4s + 6)(4s + -6) = 0 Reorder the terms: (6 + 4s)(4s + -6) = 0 Reorder the terms: (6 + 4s)(-6 + 4s) = 0 Multiply (6 + 4s) * (-6 + 4s) (6(-6 + 4s) + 4s * (-6 + 4s)) = 0 ((-6 * 6 + 4s * 6) + 4s * (-6 + 4s)) = 0 ((-36 + 24s) + 4s * (-6 + 4s)) = 0 (-36 + 24s + (-6 * 4s + 4s * 4s)) = 0 (-36 + 24s + (-24s + 16s2)) = 0 Combine like terms: 24s + -24s = 0 (-36 + 0 + 16s2) = 0 (-36 + 16s2) = 0 Solving -36 + 16s2 = 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 + 16s2 = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 16s2 = 0 + 36 16s2 = 0 + 36 Combine like terms: 0 + 36 = 36 16s2 = 36 Divide each side by '16'. s2 = 2.25 Simplifying s2 = 2.25 Take the square root of each side: s = {-1.5, 1.5}
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