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Simplifying (3s + -3)(s + 5) = 0 Reorder the terms: (-3 + 3s)(s + 5) = 0 Reorder the terms: (-3 + 3s)(5 + s) = 0 Multiply (-3 + 3s) * (5 + s) (-3(5 + s) + 3s * (5 + s)) = 0 ((5 * -3 + s * -3) + 3s * (5 + s)) = 0 ((-15 + -3s) + 3s * (5 + s)) = 0 (-15 + -3s + (5 * 3s + s * 3s)) = 0 (-15 + -3s + (15s + 3s2)) = 0 Combine like terms: -3s + 15s = 12s (-15 + 12s + 3s2) = 0 Solving -15 + 12s + 3s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '3'. 3(-5 + 4s + s2) = 0 Factor a trinomial. 3((-5 + -1s)(1 + -1s)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-5 + -1s)' equal to zero and attempt to solve: Simplifying -5 + -1s = 0 Solving -5 + -1s = 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 + -1s = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1s = 0 + 5 -1s = 0 + 5 Combine like terms: 0 + 5 = 5 -1s = 5 Divide each side by '-1'. s = -5 Simplifying s = -5Subproblem 2
Set the factor '(1 + -1s)' equal to zero and attempt to solve: Simplifying 1 + -1s = 0 Solving 1 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1s = 0 + -1 -1s = 0 + -1 Combine like terms: 0 + -1 = -1 -1s = -1 Divide each side by '-1'. s = 1 Simplifying s = 1Solution
s = {-5, 1}
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