-2x^2+x-28=0

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Solution for -2x^2+x-28=0 equation:


Simplifying
-2x2 + x + -28 = 0

Reorder the terms:
-28 + x + -2x2 = 0

Solving
-28 + x + -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'.
14 + -0.5x + x2 = 0

Move the constant term to the right:

Add '-14' to each side of the equation.
14 + -0.5x + -14 + x2 = 0 + -14

Reorder the terms:
14 + -14 + -0.5x + x2 = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -0.5x + x2 = 0 + -14
-0.5x + x2 = 0 + -14

Combine like terms: 0 + -14 = -14
-0.5x + x2 = -14

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

Add '0.25' to each side of the equation.
-0.5x + 0.25 + x2 = -14 + 0.25

Reorder the terms:
0.25 + -0.5x + x2 = -14 + 0.25

Combine like terms: -14 + 0.25 = -13.75
0.25 + -0.5x + x2 = -13.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -13.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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