5y^2=-50y

Solution for 5y^2=-50y equation:

Simplifying
5y2 = -50y

Solving
5y2 = -50y

Solving for variable 'y'.

Reorder the terms:
50y + 5y2 = -50y + 50y

Combine like terms: -50y + 50y = 0
50y + 5y2 = 0

Factor out the Greatest Common Factor (GCF), '5y'.
5y(10 + y) = 0

Ignore the factor 5.
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 '(10 + y)' equal to zero and attempt to solve:

Simplifying
10 + y = 0

Solving
10 + y = 0

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

Add '-10' to each side of the equation.
10 + -10 + y = 0 + -10

Combine like terms: 10 + -10 = 0
0 + y = 0 + -10
y = 0 + -10

Combine like terms: 0 + -10 = -10
y = -10

Simplifying
y = -10
Solution
y = {0, -10}