35y^3-5y^2=

Solution for 35y^3-5y^2= equation:

Simplifying
35y3 + -5y2 = 0

Reorder the terms:
-5y2 + 35y3 = 0

Solving
-5y2 + 35y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '5y2'.
5y2(-1 + 7y) = 0

Ignore the factor 5.
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}