x^2=-17x

Solution for x^2=-17x equation:

Simplifying
x2 = -17x

Solving
x2 = -17x

Solving for variable 'x'.

Reorder the terms:
17x + x2 = -17x + 17x

Combine like terms: -17x + 17x = 0
17x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(17 + 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 '(17 + x)' equal to zero and attempt to solve:

Simplifying
17 + x = 0

Solving
17 + x = 0

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

Add '-17' to each side of the equation.
17 + -17 + x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + x = 0 + -17
x = 0 + -17

Combine like terms: 0 + -17 = -17
x = -17

Simplifying
x = -17
Solution
x = {0, -17}