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Simplifying s(3s + -2)(4s + -3) = 0 Reorder the terms: s(-2 + 3s)(4s + -3) = 0 Reorder the terms: s(-2 + 3s)(-3 + 4s) = 0 Multiply (-2 + 3s) * (-3 + 4s) s(-2(-3 + 4s) + 3s * (-3 + 4s)) = 0 s((-3 * -2 + 4s * -2) + 3s * (-3 + 4s)) = 0 s((6 + -8s) + 3s * (-3 + 4s)) = 0 s(6 + -8s + (-3 * 3s + 4s * 3s)) = 0 s(6 + -8s + (-9s + 12s2)) = 0 Combine like terms: -8s + -9s = -17s s(6 + -17s + 12s2) = 0 (6 * s + -17s * s + 12s2 * s) = 0 (6s + -17s2 + 12s3) = 0 Solving 6s + -17s2 + 12s3 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), 's'. s(6 + -17s + 12s2) = 0 Factor a trinomial. s((2 + -3s)(3 + -4s)) = 0Subproblem 1
Set the factor 's' equal to zero and attempt to solve: Simplifying s = 0 Solving s = 0 Move all terms containing s to the left, all other terms to the right. Simplifying s = 0Subproblem 2
Set the factor '(2 + -3s)' equal to zero and attempt to solve: Simplifying 2 + -3s = 0 Solving 2 + -3s = 0 Move all terms containing s to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3s = 0 + -2 -3s = 0 + -2 Combine like terms: 0 + -2 = -2 -3s = -2 Divide each side by '-3'. s = 0.6666666667 Simplifying s = 0.6666666667Subproblem 3
Set the factor '(3 + -4s)' equal to zero and attempt to solve: Simplifying 3 + -4s = 0 Solving 3 + -4s = 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 + -4s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4s = 0 + -3 -4s = 0 + -3 Combine like terms: 0 + -3 = -3 -4s = -3 Divide each side by '-4'. s = 0.75 Simplifying s = 0.75Solution
s = {0, 0.6666666667, 0.75}
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