2y^2-3y^2+7y^3=0

Solution for 2y^2-3y^2+7y^3=0 equation:

Simplifying
2y2 + -3y2 + 7y3 = 0

Combine like terms: 2y2 + -3y2 = -1y2
-1y2 + 7y3 = 0

Solving
-1y2 + 7y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y2'.
y2(-1 + 7y) = 0

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 + 7y)' equal to zero and attempt to solve:

Simplifying
-1 + 7y = 0

Solving
-1 + 7y = 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 + 7y = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 7y = 0 + 1
7y = 0 + 1

Combine like terms: 0 + 1 = 1
7y = 1

Divide each side by '7'.
y = 0.1428571429

Simplifying
y = 0.1428571429
Solution
y = {0, 0.1428571429}