g^2+37g=0

Solution for g^2+37g=0 equation:

Simplifying
g2 + 37g = 0

Reorder the terms:
37g + g2 = 0

Solving
37g + g2 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), 'g'.
g(37 + g) = 0

Subproblem 1
Set the factor 'g' equal to zero and attempt to solve:

Simplifying
g = 0

Solving
g = 0

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

Simplifying
g = 0
Subproblem 2
Set the factor '(37 + g)' equal to zero and attempt to solve:

Simplifying
37 + g = 0

Solving
37 + g = 0

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

Add '-37' to each side of the equation.
37 + -37 + g = 0 + -37

Combine like terms: 37 + -37 = 0
0 + g = 0 + -37
g = 0 + -37

Combine like terms: 0 + -37 = -37
g = -37

Simplifying
g = -37
Solution
g = {0, -37}