11x^2-10x=-11

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Solution for 11x^2-10x=-11 equation:


Simplifying
11x2 + -10x = -11

Reorder the terms:
-10x + 11x2 = -11

Solving
-10x + 11x2 = -11

Solving for variable 'x'.

Reorder the terms:
11 + -10x + 11x2 = -11 + 11

Combine like terms: -11 + 11 = 0
11 + -10x + 11x2 = 0

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

Divide each side by '11'.
1 + -0.9090909091x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -0.9090909091x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + -0.9090909091x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.9090909091x + x2 = 0 + -1
-0.9090909091x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-0.9090909091x + x2 = -1

The x term is -0.9090909091x.  Take half its coefficient (-0.4545454546).
Square it (0.2066115703) and add it to both sides.

Add '0.2066115703' to each side of the equation.
-0.9090909091x + 0.2066115703 + x2 = -1 + 0.2066115703

Reorder the terms:
0.2066115703 + -0.9090909091x + x2 = -1 + 0.2066115703

Combine like terms: -1 + 0.2066115703 = -0.7933884297
0.2066115703 + -0.9090909091x + x2 = -0.7933884297

Factor a perfect square on the left side:
(x + -0.4545454546)(x + -0.4545454546) = -0.7933884297

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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