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Simplifying (3s + -1)(4s + 3) = 0 Reorder the terms: (-1 + 3s)(4s + 3) = 0 Reorder the terms: (-1 + 3s)(3 + 4s) = 0 Multiply (-1 + 3s) * (3 + 4s) (-1(3 + 4s) + 3s * (3 + 4s)) = 0 ((3 * -1 + 4s * -1) + 3s * (3 + 4s)) = 0 ((-3 + -4s) + 3s * (3 + 4s)) = 0 (-3 + -4s + (3 * 3s + 4s * 3s)) = 0 (-3 + -4s + (9s + 12s2)) = 0 Combine like terms: -4s + 9s = 5s (-3 + 5s + 12s2) = 0 Solving -3 + 5s + 12s2 = 0 Solving for variable 's'. Factor a trinomial. (-3 + -4s)(1 + -3s) = 0Subproblem 1
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 = -0.75Subproblem 2
Set the factor '(1 + -3s)' equal to zero and attempt to solve: Simplifying 1 + -3s = 0 Solving 1 + -3s = 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 + -3s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3s = 0 + -1 -3s = 0 + -1 Combine like terms: 0 + -1 = -1 -3s = -1 Divide each side by '-3'. s = 0.3333333333 Simplifying s = 0.3333333333Solution
s = {-0.75, 0.3333333333}
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