9x^2-97x+238=0

Solution for 9x^2-97x+238=0 equation:

Simplifying
9x2 + -97x + 238 = 0

Reorder the terms:
238 + -97x + 9x2 = 0

Solving
238 + -97x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(34 + -9x)(7 + -1x) = 0

Subproblem 1
Set the factor '(34 + -9x)' equal to zero and attempt to solve:

Simplifying
34 + -9x = 0

Solving
34 + -9x = 0

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

Add '-34' to each side of the equation.
34 + -34 + -9x = 0 + -34

Combine like terms: 34 + -34 = 0
0 + -9x = 0 + -34
-9x = 0 + -34

Combine like terms: 0 + -34 = -34
-9x = -34

Divide each side by '-9'.
x = 3.777777778

Simplifying
x = 3.777777778
Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {3.777777778, 7}