x^2+83x=0

Solution for x^2+83x=0 equation:

Simplifying
x2 + 83x = 0

Reorder the terms:
83x + x2 = 0

Solving
83x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(83 + 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 '(83 + x)' equal to zero and attempt to solve:

Simplifying
83 + x = 0

Solving
83 + x = 0

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

Add '-83' to each side of the equation.
83 + -83 + x = 0 + -83

Combine like terms: 83 + -83 = 0
0 + x = 0 + -83
x = 0 + -83

Combine like terms: 0 + -83 = -83
x = -83

Simplifying
x = -83
Solution
x = {0, -83}