2x^2-x+20=0

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


Simplifying
2x2 + -1x + 20 = 0

Reorder the terms:
20 + -1x + 2x2 = 0

Solving
20 + -1x + 2x2 = 0

Solving for variable 'x'.

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

Divide each side by '2'.
10 + -0.5x + x2 = 0

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + -0.5x + -10 + x2 = 0 + -10

Reorder the terms:
10 + -10 + -0.5x + x2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -0.5x + x2 = 0 + -10
-0.5x + x2 = 0 + -10

Combine like terms: 0 + -10 = -10
-0.5x + x2 = -10

The x term is -0.5x.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5x + 0.0625 + x2 = -10 + 0.0625

Reorder the terms:
0.0625 + -0.5x + x2 = -10 + 0.0625

Combine like terms: -10 + 0.0625 = -9.9375
0.0625 + -0.5x + x2 = -9.9375

Factor a perfect square on the left side:
(x + -0.25)(x + -0.25) = -9.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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