12y=y^3-11y^2

Solution for 12y=y^3-11y^2 equation:

Simplifying
12y = y3 + -11y2

Reorder the terms:
12y = -11y2 + y3

Solving
12y = -11y2 + y3

Solving for variable 'y'.

Reorder the terms:
12y + 11y2 + -1y3 = -11y2 + 11y2 + y3 + -1y3

Combine like terms: -11y2 + 11y2 = 0
12y + 11y2 + -1y3 = 0 + y3 + -1y3
12y + 11y2 + -1y3 = y3 + -1y3

Combine like terms: y3 + -1y3 = 0
12y + 11y2 + -1y3 = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(12 + 11y + -1y2) = 0

Factor a trinomial.
y((12 + -1y)(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 '(12 + -1y)' equal to zero and attempt to solve:

Simplifying
12 + -1y = 0

Solving
12 + -1y = 0

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

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

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

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

Divide each side by '-1'.
y = 12

Simplifying
y = 12
Subproblem 3
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, 12, -1}