x^2+69x=0

Solution for x^2+69x=0 equation:

Simplifying
x2 + 69x = 0

Reorder the terms:
69x + x2 = 0

Solving
69x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(69 + 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 '(69 + x)' equal to zero and attempt to solve:

Simplifying
69 + x = 0

Solving
69 + x = 0

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

Add '-69' to each side of the equation.
69 + -69 + x = 0 + -69

Combine like terms: 69 + -69 = 0
0 + x = 0 + -69
x = 0 + -69

Combine like terms: 0 + -69 = -69
x = -69

Simplifying
x = -69
Solution
x = {0, -69}