2y^2-4y^3-5y^2+7y^3=

Solution for 2y^2-4y^3-5y^2+7y^3= equation:

Simplifying
2y2 + -4y3 + -5y2 + 7y3 = 0

Reorder the terms:
2y2 + -5y2 + -4y3 + 7y3 = 0

Combine like terms: 2y2 + -5y2 = -3y2
-3y2 + -4y3 + 7y3 = 0

Combine like terms: -4y3 + 7y3 = 3y3
-3y2 + 3y3 = 0

Solving
-3y2 + 3y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3y2'.
3y2(-1 + y) = 0

Ignore the factor 3.
Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve:

Simplifying
y2 = 0

Solving
y2 = 0

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

Simplifying
y2 = 0

Take the square root of each side:
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}