8x^2+2x+13=

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Solution for 8x^2+2x+13= equation:


Simplifying
8x2 + 2x + 13 = 0

Reorder the terms:
13 + 2x + 8x2 = 0

Solving
13 + 2x + 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'.
1.625 + 0.25x + x2 = 0

Move the constant term to the right:

Add '-1.625' to each side of the equation.
1.625 + 0.25x + -1.625 + x2 = 0 + -1.625

Reorder the terms:
1.625 + -1.625 + 0.25x + x2 = 0 + -1.625

Combine like terms: 1.625 + -1.625 = 0.000
0.000 + 0.25x + x2 = 0 + -1.625
0.25x + x2 = 0 + -1.625

Combine like terms: 0 + -1.625 = -1.625
0.25x + x2 = -1.625

The x term is 0.25x.  Take half its coefficient (0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
0.25x + 0.015625 + x2 = -1.625 + 0.015625

Reorder the terms:
0.015625 + 0.25x + x2 = -1.625 + 0.015625

Combine like terms: -1.625 + 0.015625 = -1.609375
0.015625 + 0.25x + x2 = -1.609375

Factor a perfect square on the left side:
(x + 0.125)(x + 0.125) = -1.609375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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