b^2+4b-1=-4

Solution for b^2+4b-1=-4 equation:

Simplifying
b2 + 4b + -1 = -4

Reorder the terms:
-1 + 4b + b2 = -4

Solving
-1 + 4b + b2 = -4

Solving for variable 'b'.

Reorder the terms:
-1 + 4 + 4b + b2 = -4 + 4

Combine like terms: -1 + 4 = 3
3 + 4b + b2 = -4 + 4

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

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

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

Simplifying
3 + b = 0

Solving
3 + b = 0

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

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

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

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

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

Simplifying
1 + b = 0

Solving
1 + b = 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 + b = 0 + -1

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

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

Simplifying
b = -1
Solution
b = {-3, -1}