g^2+4g=-3

Solution for g^2+4g=-3 equation:

Simplifying
g2 + 4g = -3

Reorder the terms:
4g + g2 = -3

Solving
4g + g2 = -3

Solving for variable 'g'.

Reorder the terms:
3 + 4g + g2 = -3 + 3

Combine like terms: -3 + 3 = 0
3 + 4g + g2 = 0

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

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

Simplifying
3 + g = 0

Solving
3 + g = 0

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

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

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

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

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

Simplifying
1 + g = 0

Solving
1 + g = 0

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

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

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

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

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