20x^2-11x+2=0

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Solution for 20x^2-11x+2=0 equation:


Simplifying
20x2 + -11x + 2 = 0

Reorder the terms:
2 + -11x + 20x2 = 0

Solving
2 + -11x + 20x2 = 0

Solving for variable 'x'.

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

Divide each side by '20'.
0.1 + -0.55x + x2 = 0

Move the constant term to the right:

Add '-0.1' to each side of the equation.
0.1 + -0.55x + -0.1 + x2 = 0 + -0.1

Reorder the terms:
0.1 + -0.1 + -0.55x + x2 = 0 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + -0.55x + x2 = 0 + -0.1
-0.55x + x2 = 0 + -0.1

Combine like terms: 0 + -0.1 = -0.1
-0.55x + x2 = -0.1

The x term is -0.55x.  Take half its coefficient (-0.275).
Square it (0.075625) and add it to both sides.

Add '0.075625' to each side of the equation.
-0.55x + 0.075625 + x2 = -0.1 + 0.075625

Reorder the terms:
0.075625 + -0.55x + x2 = -0.1 + 0.075625

Combine like terms: -0.1 + 0.075625 = -0.024375
0.075625 + -0.55x + x2 = -0.024375

Factor a perfect square on the left side:
(x + -0.275)(x + -0.275) = -0.024375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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