315y^2+52y+1=0

Solution for 315y^2+52y+1=0 equation:

Simplifying
315y2 + 52y + 1 = 0

Reorder the terms:
1 + 52y + 315y2 = 0

Solving
1 + 52y + 315y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(1 + 7y)(1 + 45y) = 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 '(1 + 45y)' equal to zero and attempt to solve:

Simplifying
1 + 45y = 0

Solving
1 + 45y = 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 + 45y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 45y = 0 + -1
45y = 0 + -1

Combine like terms: 0 + -1 = -1
45y = -1

Divide each side by '45'.
y = -0.02222222222

Simplifying
y = -0.02222222222
Solution
y = {-0.1428571429, -0.02222222222}