-13y-6=5y^2

Solution for -13y-6=5y^2 equation:

Simplifying
-13y + -6 = 5y2

Reorder the terms:
-6 + -13y = 5y2

Solving
-6 + -13y = 5y2

Solving for variable 'y'.

Combine like terms: 5y2 + -5y2 = 0
-6 + -13y + -5y2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(6 + 13y + 5y2) = 0

Factor a trinomial.
-1((2 + y)(3 + 5y)) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(2 + y)' equal to zero and attempt to solve:

Simplifying
2 + y = 0

Solving
2 + y = 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 + y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + y = 0 + -2
y = 0 + -2

Combine like terms: 0 + -2 = -2
y = -2

Simplifying
y = -2
Subproblem 2
Set the factor '(3 + 5y)' equal to zero and attempt to solve:

Simplifying
3 + 5y = 0

Solving
3 + 5y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + 5y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5y = 0 + -3
5y = 0 + -3

Combine like terms: 0 + -3 = -3
5y = -3

Divide each side by '5'.
y = -0.6

Simplifying
y = -0.6
Solution
y = {-2, -0.6}