9x^2-118x+273=0

Solution for 9x^2-118x+273=0 equation:

Simplifying
9x2 + -118x + 273 = 0

Reorder the terms:
273 + -118x + 9x2 = 0

Solving
273 + -118x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + -1x)(91 + -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 '(91 + -9x)' equal to zero and attempt to solve:

Simplifying
91 + -9x = 0

Solving
91 + -9x = 0

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

Add '-91' to each side of the equation.
91 + -91 + -9x = 0 + -91

Combine like terms: 91 + -91 = 0
0 + -9x = 0 + -91
-9x = 0 + -91

Combine like terms: 0 + -91 = -91
-9x = -91

Divide each side by '-9'.
x = 10.11111111

Simplifying
x = 10.11111111
Solution
x = {3, 10.11111111}