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Simplifying (6s + 5)(6s + 5) = 0 Reorder the terms: (5 + 6s)(6s + 5) = 0 Reorder the terms: (5 + 6s)(5 + 6s) = 0 Multiply (5 + 6s) * (5 + 6s) (5(5 + 6s) + 6s * (5 + 6s)) = 0 ((5 * 5 + 6s * 5) + 6s * (5 + 6s)) = 0 ((25 + 30s) + 6s * (5 + 6s)) = 0 (25 + 30s + (5 * 6s + 6s * 6s)) = 0 (25 + 30s + (30s + 36s2)) = 0 Combine like terms: 30s + 30s = 60s (25 + 60s + 36s2) = 0 Solving 25 + 60s + 36s2 = 0 Solving for variable 's'. Factor a trinomial. (5 + 6s)(5 + 6s) = 0Subproblem 1
Set the factor '(5 + 6s)' equal to zero and attempt to solve: Simplifying 5 + 6s = 0 Solving 5 + 6s = 0 Move all terms containing s to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 6s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6s = 0 + -5 6s = 0 + -5 Combine like terms: 0 + -5 = -5 6s = -5 Divide each side by '6'. s = -0.8333333333 Simplifying s = -0.8333333333Subproblem 2
Set the factor '(5 + 6s)' equal to zero and attempt to solve: Simplifying 5 + 6s = 0 Solving 5 + 6s = 0 Move all terms containing s to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 6s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6s = 0 + -5 6s = 0 + -5 Combine like terms: 0 + -5 = -5 6s = -5 Divide each side by '6'. s = -0.8333333333 Simplifying s = -0.8333333333Solution
s = {-0.8333333333, -0.8333333333}
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