50g^2+52g+2=0

Solution for 50g^2+52g+2=0 equation:

Simplifying
50g2 + 52g + 2 = 0

Reorder the terms:
2 + 52g + 50g2 = 0

Solving
2 + 52g + 50g2 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + 26g + 25g2) = 0

Factor a trinomial.
2((1 + g)(1 + 25g)) = 0

Ignore the factor 2.
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 + 25g)' equal to zero and attempt to solve:

Simplifying
1 + 25g = 0

Solving
1 + 25g = 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 + 25g = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 25g = 0 + -1
25g = 0 + -1

Combine like terms: 0 + -1 = -1
25g = -1

Divide each side by '25'.
g = -0.04

Simplifying
g = -0.04
Solution
g = {-1, -0.04}