G^2+8G=-7

Solution for G^2+8G=-7 equation:

Simplifying
G2 + 8G = -7

Reorder the terms:
8G + G2 = -7

Solving
8G + G2 = -7

Solving for variable 'G'.

Reorder the terms:
7 + 8G + G2 = -7 + 7

Combine like terms: -7 + 7 = 0
7 + 8G + G2 = 0

Factor a trinomial.
(7 + G)(1 + G) = 0

Subproblem 1
Set the factor '(7 + G)' equal to zero and attempt to solve:

Simplifying
7 + G = 0

Solving
7 + G = 0

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

Add '-7' to each side of the equation.
7 + -7 + G = 0 + -7

Combine like terms: 7 + -7 = 0
0 + G = 0 + -7
G = 0 + -7

Combine like terms: 0 + -7 = -7
G = -7

Simplifying
G = -7
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 = {-7, -1}