0=9x^2-66x+121

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Solution for 0=9x^2-66x+121 equation: 


Simplifying
0 = 9x2 + -66x + 121

Reorder the terms:
0 = 121 + -66x + 9x2

Solving
0 = 121 + -66x + 9x2

Solving for variable 'x'.

Combine like terms: 0 + -121 = -121
-121 + 66x + -9x2 = 121 + -66x + 9x2 + -121 + 66x + -9x2

Reorder the terms:
-121 + 66x + -9x2 = 121 + -121 + -66x + 66x + 9x2 + -9x2

Combine like terms: 121 + -121 = 0
-121 + 66x + -9x2 = 0 + -66x + 66x + 9x2 + -9x2
-121 + 66x + -9x2 = -66x + 66x + 9x2 + -9x2

Combine like terms: -66x + 66x = 0
-121 + 66x + -9x2 = 0 + 9x2 + -9x2
-121 + 66x + -9x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-121 + 66x + -9x2 = 0

Factor a trinomial.
(-11 + 3x)(11 + -3x) = 0


Subproblem 1
Set the factor '(-11 + 3x)' equal to zero and attempt to solve:

Simplifying
-11 + 3x = 0

Solving
-11 + 3x = 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 + 3x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 3x = 0 + 11
3x = 0 + 11

Combine like terms: 0 + 11 = 11
3x = 11

Divide each side by '3'.
x = 3.666666667

Simplifying
x = 3.666666667

Subproblem 2
Set the factor '(11 + -3x)' equal to zero and attempt to solve:

Simplifying
11 + -3x = 0

Solving
11 + -3x = 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 + -3x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -3x = 0 + -11
-3x = 0 + -11

Combine like terms: 0 + -11 = -11
-3x = -11

Divide each side by '-3'.
x = 3.666666667

Simplifying
x = 3.666666667
Solution
x = {3.666666667, 3.666666667}

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