x^2+62x=0

Solution for x^2+62x=0 equation:

Simplifying
x2 + 62x = 0

Reorder the terms:
62x + x2 = 0

Solving
62x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(62 + 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 '(62 + x)' equal to zero and attempt to solve:

Simplifying
62 + x = 0

Solving
62 + x = 0

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

Add '-62' to each side of the equation.
62 + -62 + x = 0 + -62

Combine like terms: 62 + -62 = 0
0 + x = 0 + -62
x = 0 + -62

Combine like terms: 0 + -62 = -62
x = -62

Simplifying
x = -62
Solution
x = {0, -62}