11x^2-4x=-2

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Solution for 11x^2-4x=-2 equation:


Simplifying
11x2 + -4x = -2

Reorder the terms:
-4x + 11x2 = -2

Solving
-4x + 11x2 = -2

Solving for variable 'x'.

Reorder the terms:
2 + -4x + 11x2 = -2 + 2

Combine like terms: -2 + 2 = 0
2 + -4x + 11x2 = 0

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

Divide each side by '11'.
0.1818181818 + -0.3636363636x + x2 = 0

Move the constant term to the right:

Add '-0.1818181818' to each side of the equation.
0.1818181818 + -0.3636363636x + -0.1818181818 + x2 = 0 + -0.1818181818

Reorder the terms:
0.1818181818 + -0.1818181818 + -0.3636363636x + x2 = 0 + -0.1818181818

Combine like terms: 0.1818181818 + -0.1818181818 = 0.0000000000
0.0000000000 + -0.3636363636x + x2 = 0 + -0.1818181818
-0.3636363636x + x2 = 0 + -0.1818181818

Combine like terms: 0 + -0.1818181818 = -0.1818181818
-0.3636363636x + x2 = -0.1818181818

The x term is -0.3636363636x.  Take half its coefficient (-0.1818181818).
Square it (0.03305785123) and add it to both sides.

Add '0.03305785123' to each side of the equation.
-0.3636363636x + 0.03305785123 + x2 = -0.1818181818 + 0.03305785123

Reorder the terms:
0.03305785123 + -0.3636363636x + x2 = -0.1818181818 + 0.03305785123

Combine like terms: -0.1818181818 + 0.03305785123 = -0.14876033057
0.03305785123 + -0.3636363636x + x2 = -0.14876033057

Factor a perfect square on the left side:
(x + -0.1818181818)(x + -0.1818181818) = -0.14876033057

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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