35y^3+16y^2=12y

Solution for 35y^3+16y^2=12y equation:

Simplifying
35y3 + 16y2 = 12y

Reorder the terms:
16y2 + 35y3 = 12y

Solving
16y2 + 35y3 = 12y

Solving for variable 'y'.

Reorder the terms:
-12y + 16y2 + 35y3 = 12y + -12y

Combine like terms: 12y + -12y = 0
-12y + 16y2 + 35y3 = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(-12 + 16y + 35y2) = 0

Factor a trinomial.
y((-6 + -7y)(2 + -5y)) = 0

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 '(-6 + -7y)' equal to zero and attempt to solve:

Simplifying
-6 + -7y = 0

Solving
-6 + -7y = 0

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

Add '6' to each side of the equation.
-6 + 6 + -7y = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -7y = 0 + 6
-7y = 0 + 6

Combine like terms: 0 + 6 = 6
-7y = 6

Divide each side by '-7'.
y = -0.8571428571

Simplifying
y = -0.8571428571
Subproblem 3
Set the factor '(2 + -5y)' equal to zero and attempt to solve:

Simplifying
2 + -5y = 0

Solving
2 + -5y = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5y = 0 + -2
-5y = 0 + -2

Combine like terms: 0 + -2 = -2
-5y = -2

Divide each side by '-5'.
y = 0.4

Simplifying
y = 0.4
Solution
y = {0, -0.8571428571, 0.4}