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Simplifying 3s2 + 14s + 8 = 0 Reorder the terms: 8 + 14s + 3s2 = 0 Solving 8 + 14s + 3s2 = 0 Solving for variable 's'. Factor a trinomial. (4 + s)(2 + 3s) = 0Subproblem 1
Set the factor '(4 + s)' equal to zero and attempt to solve: Simplifying 4 + s = 0 Solving 4 + s = 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 + s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + s = 0 + -4 s = 0 + -4 Combine like terms: 0 + -4 = -4 s = -4 Simplifying s = -4Subproblem 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 = -0.6666666667Solution
s = {-4, -0.6666666667}
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