y^2+35y=0

Solution for y^2+35y=0 equation:

Simplifying
y2 + 35y = 0

Reorder the terms:
35y + y2 = 0

Solving
35y + y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(35 + 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 '(35 + y)' equal to zero and attempt to solve:

Simplifying
35 + y = 0

Solving
35 + y = 0

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

Add '-35' to each side of the equation.
35 + -35 + y = 0 + -35

Combine like terms: 35 + -35 = 0
0 + y = 0 + -35
y = 0 + -35

Combine like terms: 0 + -35 = -35
y = -35

Simplifying
y = -35
Solution
y = {0, -35}