x^2+37x=0

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

Simplifying
x2 + 37x = 0

Reorder the terms:
37x + x2 = 0

Solving
37x + x2 = 0

Solving for variable 'x'.

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

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

Simplifying
x = 0

Solving
x = 0

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

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

Simplifying
37 + x = 0

Solving
37 + x = 0

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

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

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

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

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