9x^2-20x-141=0

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

Simplifying
9x2 + -20x + -141 = 0

Reorder the terms:
-141 + -20x + 9x2 = 0

Solving
-141 + -20x + 9x2 = 0

Solving for variable 'x'.

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

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

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1x = 0 + 3

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

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

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

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

Simplifying
47 + -9x = 0

Solving
47 + -9x = 0

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

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

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

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

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

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