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Simplifying (9s + 5)(4s + -12) = 0 Reorder the terms: (5 + 9s)(4s + -12) = 0 Reorder the terms: (5 + 9s)(-12 + 4s) = 0 Multiply (5 + 9s) * (-12 + 4s) (5(-12 + 4s) + 9s * (-12 + 4s)) = 0 ((-12 * 5 + 4s * 5) + 9s * (-12 + 4s)) = 0 ((-60 + 20s) + 9s * (-12 + 4s)) = 0 (-60 + 20s + (-12 * 9s + 4s * 9s)) = 0 (-60 + 20s + (-108s + 36s2)) = 0 Combine like terms: 20s + -108s = -88s (-60 + -88s + 36s2) = 0 Solving -60 + -88s + 36s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '4'. 4(-15 + -22s + 9s2) = 0 Factor a trinomial. 4((-5 + -9s)(3 + -1s)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-5 + -9s)' equal to zero and attempt to solve: Simplifying -5 + -9s = 0 Solving -5 + -9s = 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 + -9s = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -9s = 0 + 5 -9s = 0 + 5 Combine like terms: 0 + 5 = 5 -9s = 5 Divide each side by '-9'. s = -0.5555555556 Simplifying s = -0.5555555556Subproblem 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 = {-0.5555555556, 3}
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