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Simplifying (8s + 3)(5s + -15) = 0 Reorder the terms: (3 + 8s)(5s + -15) = 0 Reorder the terms: (3 + 8s)(-15 + 5s) = 0 Multiply (3 + 8s) * (-15 + 5s) (3(-15 + 5s) + 8s * (-15 + 5s)) = 0 ((-15 * 3 + 5s * 3) + 8s * (-15 + 5s)) = 0 ((-45 + 15s) + 8s * (-15 + 5s)) = 0 (-45 + 15s + (-15 * 8s + 5s * 8s)) = 0 (-45 + 15s + (-120s + 40s2)) = 0 Combine like terms: 15s + -120s = -105s (-45 + -105s + 40s2) = 0 Solving -45 + -105s + 40s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '5'. 5(-9 + -21s + 8s2) = 0 Factor a trinomial. 5((-3 + -8s)(3 + -1s)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-3 + -8s)' equal to zero and attempt to solve: Simplifying -3 + -8s = 0 Solving -3 + -8s = 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 + -8s = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -8s = 0 + 3 -8s = 0 + 3 Combine like terms: 0 + 3 = 3 -8s = 3 Divide each side by '-8'. s = -0.375 Simplifying s = -0.375Subproblem 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 = {-0.375, 3}
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