0=0.2x^2-1.1x+9.781

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Solution for 0=0.2x^2-1.1x+9.781 equation: 


Simplifying
0 = 0.2x2 + -1.1x + 9.781

Reorder the terms:
0 = 9.781 + -1.1x + 0.2x2

Solving
0 = 9.781 + -1.1x + 0.2x2

Solving for variable 'x'.

Combine like terms: 0 + -9.781 = -9.781
-9.781 + 1.1x + -0.2x2 = 9.781 + -1.1x + 0.2x2 + -9.781 + 1.1x + -0.2x2

Reorder the terms:
-9.781 + 1.1x + -0.2x2 = 9.781 + -9.781 + -1.1x + 1.1x + 0.2x2 + -0.2x2

Combine like terms: 9.781 + -9.781 = 0.000
-9.781 + 1.1x + -0.2x2 = 0.000 + -1.1x + 1.1x + 0.2x2 + -0.2x2
-9.781 + 1.1x + -0.2x2 = -1.1x + 1.1x + 0.2x2 + -0.2x2

Combine like terms: -1.1x + 1.1x = 0.0
-9.781 + 1.1x + -0.2x2 = 0.0 + 0.2x2 + -0.2x2
-9.781 + 1.1x + -0.2x2 = 0.2x2 + -0.2x2

Combine like terms: 0.2x2 + -0.2x2 = 0.0
-9.781 + 1.1x + -0.2x2 = 0.0

Begin completing the square.  Divide all terms by
-0.2 the coefficient of the squared term: 

Divide each side by '-0.2'.
48.905 + -5.5x + x2 = 0

Move the constant term to the right:

Add '-48.905' to each side of the equation.
48.905 + -5.5x + -48.905 + x2 = 0 + -48.905

Reorder the terms:
48.905 + -48.905 + -5.5x + x2 = 0 + -48.905

Combine like terms: 48.905 + -48.905 = 0.000
0.000 + -5.5x + x2 = 0 + -48.905
-5.5x + x2 = 0 + -48.905

Combine like terms: 0 + -48.905 = -48.905
-5.5x + x2 = -48.905

The x term is -5.5x.  Take half its coefficient (-2.75).
Square it (7.5625) and add it to both sides.

Add '7.5625' to each side of the equation.
-5.5x + 7.5625 + x2 = -48.905 + 7.5625

Reorder the terms:
7.5625 + -5.5x + x2 = -48.905 + 7.5625

Combine like terms: -48.905 + 7.5625 = -41.3425
7.5625 + -5.5x + x2 = -41.3425

Factor a perfect square on the left side:
(x + -2.75)(x + -2.75) = -41.3425

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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