20x^2-157x+222=0

Solution for 20x^2-157x+222=0 equation:

Simplifying
20x2 + -157x + 222 = 0

Reorder the terms:
222 + -157x + 20x2 = 0

Solving
222 + -157x + 20x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(37 + -20x)(6 + -1x) = 0

Subproblem 1
Set the factor '(37 + -20x)' equal to zero and attempt to solve:

Simplifying
37 + -20x = 0

Solving
37 + -20x = 0

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

Add '-37' to each side of the equation.
37 + -37 + -20x = 0 + -37

Combine like terms: 37 + -37 = 0
0 + -20x = 0 + -37
-20x = 0 + -37

Combine like terms: 0 + -37 = -37
-20x = -37

Divide each side by '-20'.
x = 1.85

Simplifying
x = 1.85
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {1.85, 6}