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

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

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

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

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

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

Solving
-2y2 + 2y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2y2'.
2y2(-1 + y) = 0

Ignore the factor 2.
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}