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Simplifying (9s + 4)(5s + -15) = 0 Reorder the terms: (4 + 9s)(5s + -15) = 0 Reorder the terms: (4 + 9s)(-15 + 5s) = 0 Multiply (4 + 9s) * (-15 + 5s) (4(-15 + 5s) + 9s * (-15 + 5s)) = 0 ((-15 * 4 + 5s * 4) + 9s * (-15 + 5s)) = 0 ((-60 + 20s) + 9s * (-15 + 5s)) = 0 (-60 + 20s + (-15 * 9s + 5s * 9s)) = 0 (-60 + 20s + (-135s + 45s2)) = 0 Combine like terms: 20s + -135s = -115s (-60 + -115s + 45s2) = 0 Solving -60 + -115s + 45s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '5'. 5(-12 + -23s + 9s2) = 0 Factor a trinomial. 5((-4 + -9s)(3 + -1s)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-4 + -9s)' equal to zero and attempt to solve: Simplifying -4 + -9s = 0 Solving -4 + -9s = 0 Move all terms containing s to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -9s = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -9s = 0 + 4 -9s = 0 + 4 Combine like terms: 0 + 4 = 4 -9s = 4 Divide each side by '-9'. s = -0.4444444444 Simplifying s = -0.4444444444Subproblem 2
Set the factor '(3 + -1s)' equal to zero and attempt to solve: Simplifying 3 + -1s = 0 Solving 3 + -1s = 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 + -1s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1s = 0 + -3 -1s = 0 + -3 Combine like terms: 0 + -3 = -3 -1s = -3 Divide each side by '-1'. s = 3 Simplifying s = 3Solution
s = {-0.4444444444, 3}
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