35y^2+34y+8=0

Solution for 35y^2+34y+8=0 equation:

Simplifying
35y2 + 34y + 8 = 0

Reorder the terms:
8 + 34y + 35y2 = 0

Solving
8 + 34y + 35y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(4 + 7y)(2 + 5y) = 0

Subproblem 1
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
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 = {-0.5714285714, -0.4}