35y^2-4y-15=0

Solution for 35y^2-4y-15=0 equation:

Simplifying
35y2 + -4y + -15 = 0

Reorder the terms:
-15 + -4y + 35y2 = 0

Solving
-15 + -4y + 35y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-3 + -5y)(5 + -7y) = 0

Subproblem 1
Set the factor '(-3 + -5y)' equal to zero and attempt to solve:

Simplifying
-3 + -5y = 0

Solving
-3 + -5y = 0

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

Add '3' to each side of the equation.
-3 + 3 + -5y = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -5y = 0 + 3
-5y = 0 + 3

Combine like terms: 0 + 3 = 3
-5y = 3

Divide each side by '-5'.
y = -0.6

Simplifying
y = -0.6
Subproblem 2
Set the factor '(5 + -7y)' equal to zero and attempt to solve:

Simplifying
5 + -7y = 0

Solving
5 + -7y = 0

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

Add '-5' to each side of the equation.
5 + -5 + -7y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -7y = 0 + -5
-7y = 0 + -5

Combine like terms: 0 + -5 = -5
-7y = -5

Divide each side by '-7'.
y = 0.7142857143

Simplifying
y = 0.7142857143
Solution
y = {-0.6, 0.7142857143}