3s^2+11s+8=0

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Solution for 3s^2+11s+8=0 equation:


Simplifying
3s2 + 11s + 8 = 0

Reorder the terms:
8 + 11s + 3s2 = 0

Solving
8 + 11s + 3s2 = 0

Solving for variable 's'.

Factor a trinomial.
(8 + 3s)(1 + s) = 0

Subproblem 1

Set the factor '(8 + 3s)' equal to zero and attempt to solve: Simplifying 8 + 3s = 0 Solving 8 + 3s = 0 Move all terms containing s to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3s = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3s = 0 + -8 3s = 0 + -8 Combine like terms: 0 + -8 = -8 3s = -8 Divide each side by '3'. s = -2.666666667 Simplifying s = -2.666666667

Subproblem 2

Set the factor '(1 + s)' equal to zero and attempt to solve: Simplifying 1 + s = 0 Solving 1 + s = 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 + s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + s = 0 + -1 s = 0 + -1 Combine like terms: 0 + -1 = -1 s = -1 Simplifying s = -1

Solution

s = {-2.666666667, -1}

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