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Simplifying (5s + -3)(6s + -5) = 0 Reorder the terms: (-3 + 5s)(6s + -5) = 0 Reorder the terms: (-3 + 5s)(-5 + 6s) = 0 Multiply (-3 + 5s) * (-5 + 6s) (-3(-5 + 6s) + 5s * (-5 + 6s)) = 0 ((-5 * -3 + 6s * -3) + 5s * (-5 + 6s)) = 0 ((15 + -18s) + 5s * (-5 + 6s)) = 0 (15 + -18s + (-5 * 5s + 6s * 5s)) = 0 (15 + -18s + (-25s + 30s2)) = 0 Combine like terms: -18s + -25s = -43s (15 + -43s + 30s2) = 0 Solving 15 + -43s + 30s2 = 0 Solving for variable 's'. Factor a trinomial. (3 + -5s)(5 + -6s) = 0Subproblem 1
Set the factor '(3 + -5s)' equal to zero and attempt to solve: Simplifying 3 + -5s = 0 Solving 3 + -5s = 0 Move all terms containing s to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5s = 0 + -3 -5s = 0 + -3 Combine like terms: 0 + -3 = -3 -5s = -3 Divide each side by '-5'. s = 0.6 Simplifying s = 0.6Subproblem 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 = {0.6, 0.8333333333}
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