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Simplifying (3s + 5)(3s + -5) = 0 Reorder the terms: (5 + 3s)(3s + -5) = 0 Reorder the terms: (5 + 3s)(-5 + 3s) = 0 Multiply (5 + 3s) * (-5 + 3s) (5(-5 + 3s) + 3s * (-5 + 3s)) = 0 ((-5 * 5 + 3s * 5) + 3s * (-5 + 3s)) = 0 ((-25 + 15s) + 3s * (-5 + 3s)) = 0 (-25 + 15s + (-5 * 3s + 3s * 3s)) = 0 (-25 + 15s + (-15s + 9s2)) = 0 Combine like terms: 15s + -15s = 0 (-25 + 0 + 9s2) = 0 (-25 + 9s2) = 0 Solving -25 + 9s2 = 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 + 9s2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 9s2 = 0 + 25 9s2 = 0 + 25 Combine like terms: 0 + 25 = 25 9s2 = 25 Divide each side by '9'. s2 = 2.777777778 Simplifying s2 = 2.777777778 Take the square root of each side: s = {-1.666666667, 1.666666667}
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