12y^2-3y(3y-1)=

Solution for 12y^2-3y(3y-1)= equation:

Simplifying
12y2 + -3y(3y + -1) = 0

Reorder the terms:
12y2 + -3y(-1 + 3y) = 0
12y2 + (-1 * -3y + 3y * -3y) = 0
12y2 + (3y + -9y2) = 0

Reorder the terms:
3y + 12y2 + -9y2 = 0

Combine like terms: 12y2 + -9y2 = 3y2
3y + 3y2 = 0

Solving
3y + 3y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3y'.
3y(1 + y) = 0

Ignore the factor 3.
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 + y)' equal to zero and attempt to solve:

Simplifying
1 + y = 0

Solving
1 + y = 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 + y = 0 + -1

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

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

Simplifying
y = -1
Solution
y = {0, -1}