x^2+53x=0

Solution for x^2+53x=0 equation:

Simplifying
x2 + 53x = 0

Reorder the terms:
53x + x2 = 0

Solving
53x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(53 + 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 '(53 + x)' equal to zero and attempt to solve:

Simplifying
53 + x = 0

Solving
53 + x = 0

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

Add '-53' to each side of the equation.
53 + -53 + x = 0 + -53

Combine like terms: 53 + -53 = 0
0 + x = 0 + -53
x = 0 + -53

Combine like terms: 0 + -53 = -53
x = -53

Simplifying
x = -53
Solution
x = {0, -53}