0=-2x^2+x-8

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Solution for 0=-2x^2+x-8 equation: 


Simplifying
0 = -2x2 + x + -8

Reorder the terms:
0 = -8 + x + -2x2

Solving
0 = -8 + x + -2x2

Solving for variable 'x'.

Combine like terms: 0 + 8 = 8
8 + -1x + 2x2 = -8 + x + -2x2 + 8 + -1x + 2x2

Reorder the terms:
8 + -1x + 2x2 = -8 + 8 + x + -1x + -2x2 + 2x2

Combine like terms: -8 + 8 = 0
8 + -1x + 2x2 = 0 + x + -1x + -2x2 + 2x2
8 + -1x + 2x2 = x + -1x + -2x2 + 2x2

Combine like terms: x + -1x = 0
8 + -1x + 2x2 = 0 + -2x2 + 2x2
8 + -1x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
8 + -1x + 2x2 = 0

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

Divide each side by '2'.
4 + -0.5x + x2 = 0

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + -0.5x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + -0.5x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -0.5x + x2 = 0 + -4
-0.5x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
-0.5x + x2 = -4

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 = -4 + 0.0625

Reorder the terms:
0.0625 + -0.5x + x2 = -4 + 0.0625

Combine like terms: -4 + 0.0625 = -3.9375
0.0625 + -0.5x + x2 = -3.9375

Factor a perfect square on the left side:
(x + -0.25)(x + -0.25) = -3.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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