7y^2+33y+20=0

Solution for 7y^2+33y+20=0 equation:

Simplifying
7y2 + 33y + 20 = 0

Reorder the terms:
20 + 33y + 7y2 = 0

Solving
20 + 33y + 7y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(4 + y)(5 + 7y) = 0

Subproblem 1
Set the factor '(4 + y)' equal to zero and attempt to solve:

Simplifying
4 + y = 0

Solving
4 + y = 0

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

Add '-4' to each side of the equation.
4 + -4 + y = 0 + -4

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

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

Simplifying
y = -4
Subproblem 2
Set the factor '(5 + 7y)' equal to zero and attempt to solve:

Simplifying
5 + 7y = 0

Solving
5 + 7y = 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 + 7y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 7y = 0 + -5
7y = 0 + -5

Combine like terms: 0 + -5 = -5
7y = -5

Divide each side by '7'.
y = -0.7142857143

Simplifying
y = -0.7142857143
Solution
y = {-4, -0.7142857143}