9y^2-20y-141=0

Solution for 9y^2-20y-141=0 equation:

Simplifying
9y2 + -20y + -141 = 0

Reorder the terms:
-141 + -20y + 9y2 = 0

Solving
-141 + -20y + 9y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-3 + -1y)(47 + -9y) = 0

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

Simplifying
-3 + -1y = 0

Solving
-3 + -1y = 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 + -1y = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1y = 0 + 3
-1y = 0 + 3

Combine like terms: 0 + 3 = 3
-1y = 3

Divide each side by '-1'.
y = -3

Simplifying
y = -3
Subproblem 2
Set the factor '(47 + -9y)' equal to zero and attempt to solve:

Simplifying
47 + -9y = 0

Solving
47 + -9y = 0

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

Add '-47' to each side of the equation.
47 + -47 + -9y = 0 + -47

Combine like terms: 47 + -47 = 0
0 + -9y = 0 + -47
-9y = 0 + -47

Combine like terms: 0 + -47 = -47
-9y = -47

Divide each side by '-9'.
y = 5.222222222

Simplifying
y = 5.222222222
Solution
y = {-3, 5.222222222}