y^2+27y=0

Solution for y^2+27y=0 equation:

Simplifying
y2 + 27y = 0

Reorder the terms:
27y + y2 = 0

Solving
27y + y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(27 + 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 '(27 + y)' equal to zero and attempt to solve:

Simplifying
27 + y = 0

Solving
27 + y = 0

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

Add '-27' to each side of the equation.
27 + -27 + y = 0 + -27

Combine like terms: 27 + -27 = 0
0 + y = 0 + -27
y = 0 + -27

Combine like terms: 0 + -27 = -27
y = -27

Simplifying
y = -27
Solution
y = {0, -27}