35y^2-9y-2=

Solution for 35y^2-9y-2= equation:

Simplifying
35y2 + -9y + -2 = 0

Reorder the terms:
-2 + -9y + 35y2 = 0

Solving
-2 + -9y + 35y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-1 + -7y)(2 + -5y) = 0

Subproblem 1
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
Subproblem 2
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 = {-0.1428571429, 0.4}