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Simplifying (4s + 5)(4s + -5) = 0 Reorder the terms: (5 + 4s)(4s + -5) = 0 Reorder the terms: (5 + 4s)(-5 + 4s) = 0 Multiply (5 + 4s) * (-5 + 4s) (5(-5 + 4s) + 4s * (-5 + 4s)) = 0 ((-5 * 5 + 4s * 5) + 4s * (-5 + 4s)) = 0 ((-25 + 20s) + 4s * (-5 + 4s)) = 0 (-25 + 20s + (-5 * 4s + 4s * 4s)) = 0 (-25 + 20s + (-20s + 16s2)) = 0 Combine like terms: 20s + -20s = 0 (-25 + 0 + 16s2) = 0 (-25 + 16s2) = 0 Solving -25 + 16s2 = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 16s2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 16s2 = 0 + 25 16s2 = 0 + 25 Combine like terms: 0 + 25 = 25 16s2 = 25 Divide each side by '16'. s2 = 1.5625 Simplifying s2 = 1.5625 Take the square root of each side: s = {-1.25, 1.25}
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