28G^2+29G+1=0

Solution for 28G^2+29G+1=0 equation:

Simplifying
28G2 + 29G + 1 = 0

Reorder the terms:
1 + 29G + 28G2 = 0

Solving
1 + 29G + 28G2 = 0

Solving for variable 'G'.

Factor a trinomial.
(1 + G)(1 + 28G) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(1 + 28G)' equal to zero and attempt to solve:

Simplifying
1 + 28G = 0

Solving
1 + 28G = 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 + 28G = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 28G = 0 + -1
28G = 0 + -1

Combine like terms: 0 + -1 = -1
28G = -1

Divide each side by '28'.
G = -0.03571428571

Simplifying
G = -0.03571428571
Solution
G = {-1, -0.03571428571}