x^2+63x=0

Solution for x^2+63x=0 equation:

Simplifying
x2 + 63x = 0

Reorder the terms:
63x + x2 = 0

Solving
63x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(63 + 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 '(63 + x)' equal to zero and attempt to solve:

Simplifying
63 + x = 0

Solving
63 + x = 0

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

Add '-63' to each side of the equation.
63 + -63 + x = 0 + -63

Combine like terms: 63 + -63 = 0
0 + x = 0 + -63
x = 0 + -63

Combine like terms: 0 + -63 = -63
x = -63

Simplifying
x = -63
Solution
x = {0, -63}