9x^2-41x+46=0

Solution for 9x^2-41x+46=0 equation:

Simplifying
9x2 + -41x + 46 = 0

Reorder the terms:
46 + -41x + 9x2 = 0

Solving
46 + -41x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2 + -1x)(23 + -9x) = 0

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Subproblem 2
Set the factor '(23 + -9x)' equal to zero and attempt to solve:

Simplifying
23 + -9x = 0

Solving
23 + -9x = 0

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

Add '-23' to each side of the equation.
23 + -23 + -9x = 0 + -23

Combine like terms: 23 + -23 = 0
0 + -9x = 0 + -23
-9x = 0 + -23

Combine like terms: 0 + -23 = -23
-9x = -23

Divide each side by '-9'.
x = 2.555555556

Simplifying
x = 2.555555556
Solution
x = {2, 2.555555556}