-5y-3=2y^2

Solution for -5y-3=2y^2 equation:

Simplifying
-5y + -3 = 2y2

Reorder the terms:
-3 + -5y = 2y2

Solving
-3 + -5y = 2y2

Solving for variable 'y'.

Combine like terms: 2y2 + -2y2 = 0
-3 + -5y + -2y2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(3 + 5y + 2y2) = 0

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

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

Simplifying
3 + 2y = 0

Solving
3 + 2y = 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 + 2y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2y = 0 + -3
2y = 0 + -3

Combine like terms: 0 + -3 = -3
2y = -3

Divide each side by '2'.
y = -1.5

Simplifying
y = -1.5
Subproblem 2
Set the factor '(1 + y)' equal to zero and attempt to solve:

Simplifying
1 + y = 0

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

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

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

Simplifying
y = -1
Solution
y = {-1.5, -1}