22x^2-21x+55=0

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Solution for 22x^2-21x+55=0 equation:


Simplifying
22x2 + -21x + 55 = 0

Reorder the terms:
55 + -21x + 22x2 = 0

Solving
55 + -21x + 22x2 = 0

Solving for variable 'x'.

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

Divide each side by '22'.
2.5 + -0.9545454545x + x2 = 0

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + -0.9545454545x + -2.5 + x2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + -0.9545454545x + x2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -0.9545454545x + x2 = 0 + -2.5
-0.9545454545x + x2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
-0.9545454545x + x2 = -2.5

The x term is -0.9545454545x.  Take half its coefficient (-0.4772727273).
Square it (0.2277892562) and add it to both sides.

Add '0.2277892562' to each side of the equation.
-0.9545454545x + 0.2277892562 + x2 = -2.5 + 0.2277892562

Reorder the terms:
0.2277892562 + -0.9545454545x + x2 = -2.5 + 0.2277892562

Combine like terms: -2.5 + 0.2277892562 = -2.2722107438
0.2277892562 + -0.9545454545x + x2 = -2.2722107438

Factor a perfect square on the left side:
(x + -0.4772727273)(x + -0.4772727273) = -2.2722107438

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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