8x^2-x+6=0

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Solution for 8x^2-x+6=0 equation:


Simplifying
8x2 + -1x + 6 = 0

Reorder the terms:
6 + -1x + 8x2 = 0

Solving
6 + -1x + 8x2 = 0

Solving for variable 'x'.

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

Divide each side by '8'.
0.75 + -0.125x + x2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + -0.125x + -0.75 + x2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + -0.125x + x2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + -0.125x + x2 = 0 + -0.75
-0.125x + x2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
-0.125x + x2 = -0.75

The x term is -0.125x.  Take half its coefficient (-0.0625).
Square it (0.00390625) and add it to both sides.

Add '0.00390625' to each side of the equation.
-0.125x + 0.00390625 + x2 = -0.75 + 0.00390625

Reorder the terms:
0.00390625 + -0.125x + x2 = -0.75 + 0.00390625

Combine like terms: -0.75 + 0.00390625 = -0.74609375
0.00390625 + -0.125x + x2 = -0.74609375

Factor a perfect square on the left side:
(x + -0.0625)(x + -0.0625) = -0.74609375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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