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Simplifying (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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