3b^2+25b+4=-4

Solution for 3b^2+25b+4=-4 equation:

Simplifying
3b2 + 25b + 4 = -4

Reorder the terms:
4 + 25b + 3b2 = -4

Solving
4 + 25b + 3b2 = -4

Solving for variable 'b'.

Reorder the terms:
4 + 4 + 25b + 3b2 = -4 + 4

Combine like terms: 4 + 4 = 8
8 + 25b + 3b2 = -4 + 4

Combine like terms: -4 + 4 = 0
8 + 25b + 3b2 = 0

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

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

Simplifying
8 + b = 0

Solving
8 + b = 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 + b = 0 + -8

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

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

Simplifying
b = -8
Subproblem 2
Set the factor '(1 + 3b)' equal to zero and attempt to solve:

Simplifying
1 + 3b = 0

Solving
1 + 3b = 0

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

Add '-1' to each side of the equation.
1 + -1 + 3b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3b = 0 + -1
3b = 0 + -1

Combine like terms: 0 + -1 = -1
3b = -1

Divide each side by '3'.
b = -0.3333333333

Simplifying
b = -0.3333333333
Solution
b = {-8, -0.3333333333}