0=81x^2-198x+121

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Solution for 0=81x^2-198x+121 equation: 


Simplifying
0 = 81x2 + -198x + 121

Reorder the terms:
0 = 121 + -198x + 81x2

Solving
0 = 121 + -198x + 81x2

Solving for variable 'x'.

Combine like terms: 0 + -121 = -121
-121 + 198x + -81x2 = 121 + -198x + 81x2 + -121 + 198x + -81x2

Reorder the terms:
-121 + 198x + -81x2 = 121 + -121 + -198x + 198x + 81x2 + -81x2

Combine like terms: 121 + -121 = 0
-121 + 198x + -81x2 = 0 + -198x + 198x + 81x2 + -81x2
-121 + 198x + -81x2 = -198x + 198x + 81x2 + -81x2

Combine like terms: -198x + 198x = 0
-121 + 198x + -81x2 = 0 + 81x2 + -81x2
-121 + 198x + -81x2 = 81x2 + -81x2

Combine like terms: 81x2 + -81x2 = 0
-121 + 198x + -81x2 = 0

Factor a trinomial.
(-11 + 9x)(11 + -9x) = 0


Subproblem 1
Set the factor '(-11 + 9x)' equal to zero and attempt to solve:

Simplifying
-11 + 9x = 0

Solving
-11 + 9x = 0

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

Add '11' to each side of the equation.
-11 + 11 + 9x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 9x = 0 + 11
9x = 0 + 11

Combine like terms: 0 + 11 = 11
9x = 11

Divide each side by '9'.
x = 1.222222222

Simplifying
x = 1.222222222

Subproblem 2
Set the factor '(11 + -9x)' equal to zero and attempt to solve:

Simplifying
11 + -9x = 0

Solving
11 + -9x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -9x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -9x = 0 + -11
-9x = 0 + -11

Combine like terms: 0 + -11 = -11
-9x = -11

Divide each side by '-9'.
x = 1.222222222

Simplifying
x = 1.222222222
Solution
x = {1.222222222, 1.222222222}

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