y^2=-50y

Solution for y^2=-50y equation:

Simplifying
y2 = -50y

Solving
y2 = -50y

Solving for variable 'y'.

Reorder the terms:
50y + y2 = -50y + 50y

Combine like terms: -50y + 50y = 0
50y + y2 = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(50 + y) = 0

Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0
Subproblem 2
Set the factor '(50 + y)' equal to zero and attempt to solve:

Simplifying
50 + y = 0

Solving
50 + y = 0

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

Add '-50' to each side of the equation.
50 + -50 + y = 0 + -50

Combine like terms: 50 + -50 = 0
0 + y = 0 + -50
y = 0 + -50

Combine like terms: 0 + -50 = -50
y = -50

Simplifying
y = -50
Solution
y = {0, -50}