3b^2+14b=-8

Solution for 3b^2+14b=-8 equation:

Simplifying
3b2 + 14b = -8

Reorder the terms:
14b + 3b2 = -8

Solving
14b + 3b2 = -8

Solving for variable 'b'.

Reorder the terms:
8 + 14b + 3b2 = -8 + 8

Combine like terms: -8 + 8 = 0
8 + 14b + 3b2 = 0

Factor a trinomial.
(4 + b)(2 + 3b) = 0

Subproblem 1
Set the factor '(4 + b)' equal to zero and attempt to solve:

Simplifying
4 + b = 0

Solving
4 + b = 0

Move all terms containing b to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + b = 0 + -4

Combine like terms: 4 + -4 = 0
0 + b = 0 + -4
b = 0 + -4

Combine like terms: 0 + -4 = -4
b = -4

Simplifying
b = -4
Subproblem 2
Set the factor '(2 + 3b)' equal to zero and attempt to solve:

Simplifying
2 + 3b = 0

Solving
2 + 3b = 0

Move all terms containing b to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + 3b = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3b = 0 + -2
3b = 0 + -2

Combine like terms: 0 + -2 = -2
3b = -2

Divide each side by '3'.
b = -0.6666666667

Simplifying
b = -0.6666666667
Solution
b = {-4, -0.6666666667}