13+13x^2=x+6

Solution for 13+13x^2=x+6 equation:

Simplifying
13 + 13x2 = x + 6

Reorder the terms:
13 + 13x2 = 6 + x

Solving
13 + 13x2 = 6 + x

Solving for variable 'x'.

Reorder the terms:
13 + -6 + -1x + 13x2 = 6 + x + -6 + -1x

Combine like terms: 13 + -6 = 7
7 + -1x + 13x2 = 6 + x + -6 + -1x

Reorder the terms:
7 + -1x + 13x2 = 6 + -6 + x + -1x

Combine like terms: 6 + -6 = 0
7 + -1x + 13x2 = 0 + x + -1x
7 + -1x + 13x2 = x + -1x

Combine like terms: x + -1x = 0
7 + -1x + 13x2 = 0

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

Divide each side by '13'.
0.5384615385 + -0.07692307692x + x2 = 0

Move the constant term to the right:

Add '-0.5384615385' to each side of the equation.
0.5384615385 + -0.07692307692x + -0.5384615385 + x2 = 0 + -0.5384615385

Reorder the terms:
0.5384615385 + -0.5384615385 + -0.07692307692x + x2 = 0 + -0.5384615385

Combine like terms: 0.5384615385 + -0.5384615385 = 0.0000000000
0.0000000000 + -0.07692307692x + x2 = 0 + -0.5384615385
-0.07692307692x + x2 = 0 + -0.5384615385

Combine like terms: 0 + -0.5384615385 = -0.5384615385
-0.07692307692x + x2 = -0.5384615385

The x term is -0.07692307692x.  Take half its coefficient (-0.03846153846).
Square it (0.001479289941) and add it to both sides.

Add '0.001479289941' to each side of the equation.
-0.07692307692x + 0.001479289941 + x2 = -0.5384615385 + 0.001479289941

Reorder the terms:
0.001479289941 + -0.07692307692x + x2 = -0.5384615385 + 0.001479289941

Combine like terms: -0.5384615385 + 0.001479289941 = -0.536982248559
0.001479289941 + -0.07692307692x + x2 = -0.536982248559

Factor a perfect square on the left side:
(x + -0.03846153846)(x + -0.03846153846) = -0.536982248559

Can't calculate square root of the right side.

The solution to this equation could not be determined.