x^2+82x=0

Solution for x^2+82x=0 equation:

Simplifying
x2 + 82x = 0

Reorder the terms:
82x + x2 = 0

Solving
82x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(82 + 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 '(82 + x)' equal to zero and attempt to solve:

Simplifying
82 + x = 0

Solving
82 + x = 0

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

Add '-82' to each side of the equation.
82 + -82 + x = 0 + -82

Combine like terms: 82 + -82 = 0
0 + x = 0 + -82
x = 0 + -82

Combine like terms: 0 + -82 = -82
x = -82

Simplifying
x = -82
Solution
x = {0, -82}