x^2=-30x

Solution for x^2=-30x equation:

Simplifying
x2 = -30x

Solving
x2 = -30x

Solving for variable 'x'.

Reorder the terms:
30x + x2 = -30x + 30x

Combine like terms: -30x + 30x = 0
30x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(30 + 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 '(30 + x)' equal to zero and attempt to solve:

Simplifying
30 + x = 0

Solving
30 + x = 0

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

Add '-30' to each side of the equation.
30 + -30 + x = 0 + -30

Combine like terms: 30 + -30 = 0
0 + x = 0 + -30
x = 0 + -30

Combine like terms: 0 + -30 = -30
x = -30

Simplifying
x = -30
Solution
x = {0, -30}