100y^2-10y+20y^2=

Solution for 100y^2-10y+20y^2= equation:

Simplifying
100y2 + -10y + 20y2 = 0

Reorder the terms:
-10y + 100y2 + 20y2 = 0

Combine like terms: 100y2 + 20y2 = 120y2
-10y + 120y2 = 0

Solving
-10y + 120y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '10y'.
10y(-1 + 12y) = 0

Ignore the factor 10.
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 '(-1 + 12y)' equal to zero and attempt to solve:

Simplifying
-1 + 12y = 0

Solving
-1 + 12y = 0

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

Add '1' to each side of the equation.
-1 + 1 + 12y = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 12y = 0 + 1
12y = 0 + 1

Combine like terms: 0 + 1 = 1
12y = 1

Divide each side by '12'.
y = 0.08333333333

Simplifying
y = 0.08333333333
Solution
y = {0, 0.08333333333}