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Simplifying (3s + -2)(4s + -4) = 0 Reorder the terms: (-2 + 3s)(4s + -4) = 0 Reorder the terms: (-2 + 3s)(-4 + 4s) = 0 Multiply (-2 + 3s) * (-4 + 4s) (-2(-4 + 4s) + 3s * (-4 + 4s)) = 0 ((-4 * -2 + 4s * -2) + 3s * (-4 + 4s)) = 0 ((8 + -8s) + 3s * (-4 + 4s)) = 0 (8 + -8s + (-4 * 3s + 4s * 3s)) = 0 (8 + -8s + (-12s + 12s2)) = 0 Combine like terms: -8s + -12s = -20s (8 + -20s + 12s2) = 0 Solving 8 + -20s + 12s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '4'. 4(2 + -5s + 3s2) = 0 Factor a trinomial. 4((2 + -3s)(1 + -1s)) = 0 Ignore the factor 4.Subproblem 1
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 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 = {0.6666666667, 1}
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