35y^2-15y=5y

Solution for 35y^2-15y=5y equation:

Simplifying
35y2 + -15y = 5y

Reorder the terms:
-15y + 35y2 = 5y

Solving
-15y + 35y2 = 5y

Solving for variable 'y'.

Reorder the terms:
-15y + -5y + 35y2 = 5y + -5y

Combine like terms: -15y + -5y = -20y
-20y + 35y2 = 5y + -5y

Combine like terms: 5y + -5y = 0
-20y + 35y2 = 0

Factor out the Greatest Common Factor (GCF), '5y'.
5y(-4 + 7y) = 0

Ignore the factor 5.
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 '(-4 + 7y)' equal to zero and attempt to solve:

Simplifying
-4 + 7y = 0

Solving
-4 + 7y = 0

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

Add '4' to each side of the equation.
-4 + 4 + 7y = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 7y = 0 + 4
7y = 0 + 4

Combine like terms: 0 + 4 = 4
7y = 4

Divide each side by '7'.
y = 0.5714285714

Simplifying
y = 0.5714285714
Solution
y = {0, 0.5714285714}