3b^2+16=-14b

Solution for 3b^2+16=-14b equation:

Simplifying
3b2 + 16 = -14b

Reorder the terms:
16 + 3b2 = -14b

Solving
16 + 3b2 = -14b

Solving for variable 'b'.

Reorder the terms:
16 + 14b + 3b2 = -14b + 14b

Combine like terms: -14b + 14b = 0
16 + 14b + 3b2 = 0

Factor a trinomial.
(8 + 3b)(2 + b) = 0

Subproblem 1
Set the factor '(8 + 3b)' equal to zero and attempt to solve:

Simplifying
8 + 3b = 0

Solving
8 + 3b = 0

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

Add '-8' to each side of the equation.
8 + -8 + 3b = 0 + -8

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

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

Divide each side by '3'.
b = -2.666666667

Simplifying
b = -2.666666667
Subproblem 2
Set the factor '(2 + b)' equal to zero and attempt to solve:

Simplifying
2 + b = 0

Solving
2 + b = 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 + b = 0 + -2

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

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

Simplifying
b = -2
Solution
b = {-2.666666667, -2}