2y^3-42y^2-44y=0

Solution for 2y^3-42y^2-44y=0 equation:

Simplifying
2y3 + -42y2 + -44y = 0

Reorder the terms:
-44y + -42y2 + 2y3 = 0

Solving
-44y + -42y2 + 2y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2y'.
2y(-22 + -21y + y2) = 0

Factor a trinomial.
2y((-1 + -1y)(22 + -1y)) = 0

Ignore the factor 2.
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 + -1y)' equal to zero and attempt to solve:

Simplifying
-1 + -1y = 0

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

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

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

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

Simplifying
y = -1
Subproblem 3
Set the factor '(22 + -1y)' equal to zero and attempt to solve:

Simplifying
22 + -1y = 0

Solving
22 + -1y = 0

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

Add '-22' to each side of the equation.
22 + -22 + -1y = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -1y = 0 + -22
-1y = 0 + -22

Combine like terms: 0 + -22 = -22
-1y = -22

Divide each side by '-1'.
y = 22

Simplifying
y = 22
Solution
y = {0, -1, 22}