y^2+0.1y=0

Solution for y^2+0.1y=0 equation:

Simplifying
y2 + 0.1y = 0

Reorder the terms:
0.1y + y2 = 0

Solving
0.1y + y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(0.1 + 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 '(0.1 + y)' equal to zero and attempt to solve:

Simplifying
0.1 + y = 0

Solving
0.1 + y = 0

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

Add '-0.1' to each side of the equation.
0.1 + -0.1 + y = 0 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + y = 0 + -0.1
y = 0 + -0.1

Combine like terms: 0 + -0.1 = -0.1
y = -0.1

Simplifying
y = -0.1
Solution
y = {0, -0.1}