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Simplifying 12s2 + 19s + 4 = 0 Reorder the terms: 4 + 19s + 12s2 = 0 Solving 4 + 19s + 12s2 = 0 Solving for variable 's'. Factor a trinomial. (4 + 3s)(1 + 4s) = 0Subproblem 1
Set the factor '(4 + 3s)' equal to zero and attempt to solve: Simplifying 4 + 3s = 0 Solving 4 + 3s = 0 Move all terms containing s to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3s = 0 + -4 3s = 0 + -4 Combine like terms: 0 + -4 = -4 3s = -4 Divide each side by '3'. s = -1.333333333 Simplifying s = -1.333333333Subproblem 2
Set the factor '(1 + 4s)' equal to zero and attempt to solve: Simplifying 1 + 4s = 0 Solving 1 + 4s = 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 + 4s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4s = 0 + -1 4s = 0 + -1 Combine like terms: 0 + -1 = -1 4s = -1 Divide each side by '4'. s = -0.25 Simplifying s = -0.25Solution
s = {-1.333333333, -0.25}
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