-13y-3=4y^2

Solution for -13y-3=4y^2 equation:

Simplifying
-13y + -3 = 4y2

Reorder the terms:
-3 + -13y = 4y2

Solving
-3 + -13y = 4y2

Solving for variable 'y'.

Combine like terms: 4y2 + -4y2 = 0
-3 + -13y + -4y2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(3 + 13y + 4y2) = 0

Factor a trinomial.
-1((3 + y)(1 + 4y)) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(3 + y)' equal to zero and attempt to solve:

Simplifying
3 + y = 0

Solving
3 + y = 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 + y = 0 + -3

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

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

Simplifying
y = -3
Subproblem 2
Set the factor '(1 + 4y)' equal to zero and attempt to solve:

Simplifying
1 + 4y = 0

Solving
1 + 4y = 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 + 4y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4y = 0 + -1
4y = 0 + -1

Combine like terms: 0 + -1 = -1
4y = -1

Divide each side by '4'.
y = -0.25

Simplifying
y = -0.25
Solution
y = {-3, -0.25}