5y-6y^2+1=0

Solution for 5y-6y^2+1=0 equation:

Simplifying
5y + -6y2 + 1 = 0

Reorder the terms:
1 + 5y + -6y2 = 0

Solving
1 + 5y + -6y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(1 + -1y)(1 + 6y) = 0

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

Simplifying
1 + -1y = 0

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

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

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

Divide each side by '-1'.
y = 1

Simplifying
y = 1
Subproblem 2
Set the factor '(1 + 6y)' equal to zero and attempt to solve:

Simplifying
1 + 6y = 0

Solving
1 + 6y = 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 + 6y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 6y = 0 + -1
6y = 0 + -1

Combine like terms: 0 + -1 = -1
6y = -1

Divide each side by '6'.
y = -0.1666666667

Simplifying
y = -0.1666666667
Solution
y = {1, -0.1666666667}