6y^2+y-5=0

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

Simplifying
6y2 + y + -5 = 0

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

Solving
-5 + y + 6y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-1 + -1y)(5 + -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 '(5 + -6y)' equal to zero and attempt to solve:

Simplifying
5 + -6y = 0

Solving
5 + -6y = 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 + -6y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6y = 0 + -5
-6y = 0 + -5

Combine like terms: 0 + -5 = -5
-6y = -5

Divide each side by '-6'.
y = 0.8333333333

Simplifying
y = 0.8333333333
Solution
y = {-1, 0.8333333333}