9x^2-85x+196=0

Solution for 9x^2-85x+196=0 equation:

Simplifying
9x2 + -85x + 196 = 0

Reorder the terms:
196 + -85x + 9x2 = 0

Solving
196 + -85x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4 + -1x)(49 + -9x) = 0

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

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Subproblem 2
Set the factor '(49 + -9x)' equal to zero and attempt to solve:

Simplifying
49 + -9x = 0

Solving
49 + -9x = 0

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

Add '-49' to each side of the equation.
49 + -49 + -9x = 0 + -49

Combine like terms: 49 + -49 = 0
0 + -9x = 0 + -49
-9x = 0 + -49

Combine like terms: 0 + -49 = -49
-9x = -49

Divide each side by '-9'.
x = 5.444444444

Simplifying
x = 5.444444444
Solution
x = {4, 5.444444444}