11x^2-12x+36=0

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Solution for 11x^2-12x+36=0 equation:


Simplifying
11x2 + -12x + 36 = 0

Reorder the terms:
36 + -12x + 11x2 = 0

Solving
36 + -12x + 11x2 = 0

Solving for variable 'x'.

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

Divide each side by '11'.
3.272727273 + -1.090909091x + x2 = 0

Move the constant term to the right:

Add '-3.272727273' to each side of the equation.
3.272727273 + -1.090909091x + -3.272727273 + x2 = 0 + -3.272727273

Reorder the terms:
3.272727273 + -3.272727273 + -1.090909091x + x2 = 0 + -3.272727273

Combine like terms: 3.272727273 + -3.272727273 = 0.000000000
0.000000000 + -1.090909091x + x2 = 0 + -3.272727273
-1.090909091x + x2 = 0 + -3.272727273

Combine like terms: 0 + -3.272727273 = -3.272727273
-1.090909091x + x2 = -3.272727273

The x term is -1.090909091x.  Take half its coefficient (-0.5454545455).
Square it (0.2975206612) and add it to both sides.

Add '0.2975206612' to each side of the equation.
-1.090909091x + 0.2975206612 + x2 = -3.272727273 + 0.2975206612

Reorder the terms:
0.2975206612 + -1.090909091x + x2 = -3.272727273 + 0.2975206612

Combine like terms: -3.272727273 + 0.2975206612 = -2.9752066118
0.2975206612 + -1.090909091x + x2 = -2.9752066118

Factor a perfect square on the left side:
(x + -0.5454545455)(x + -0.5454545455) = -2.9752066118

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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