36x^2-132x+1241=0

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Solution for 36x^2-132x+1241=0 equation:


Simplifying
36x2 + -132x + 1241 = 0

Reorder the terms:
1241 + -132x + 36x2 = 0

Solving
1241 + -132x + 36x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
36 the coefficient of the squared term: 

Divide each side by '36'.
34.47222222 + -3.666666667x + x2 = 0

Move the constant term to the right:

Add '-34.47222222' to each side of the equation.
34.47222222 + -3.666666667x + -34.47222222 + x2 = 0 + -34.47222222

Reorder the terms:
34.47222222 + -34.47222222 + -3.666666667x + x2 = 0 + -34.47222222

Combine like terms: 34.47222222 + -34.47222222 = 0.00000000
0.00000000 + -3.666666667x + x2 = 0 + -34.47222222
-3.666666667x + x2 = 0 + -34.47222222

Combine like terms: 0 + -34.47222222 = -34.47222222
-3.666666667x + x2 = -34.47222222

The x term is -3.666666667x.  Take half its coefficient (-1.833333334).
Square it (3.361111114) and add it to both sides.

Add '3.361111114' to each side of the equation.
-3.666666667x + 3.361111114 + x2 = -34.47222222 + 3.361111114

Reorder the terms:
3.361111114 + -3.666666667x + x2 = -34.47222222 + 3.361111114

Combine like terms: -34.47222222 + 3.361111114 = -31.111111106
3.361111114 + -3.666666667x + x2 = -31.111111106

Factor a perfect square on the left side:
(x + -1.833333334)(x + -1.833333334) = -31.111111106

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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