7(x^2+1)=x+6

Solution for 7(x^2+1)=x+6 equation:

Simplifying
7(x2 + 1) = x + 6

Reorder the terms:
7(1 + x2) = x + 6
(1 * 7 + x2 * 7) = x + 6
(7 + 7x2) = x + 6

Reorder the terms:
7 + 7x2 = 6 + x

Solving
7 + 7x2 = 6 + x

Solving for variable 'x'.

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

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

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

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

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

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

Divide each side by '7'.
0.1428571429 + -0.1428571429x + x2 = 0

Move the constant term to the right:

Add '-0.1428571429' to each side of the equation.
0.1428571429 + -0.1428571429x + -0.1428571429 + x2 = 0 + -0.1428571429

Reorder the terms:
0.1428571429 + -0.1428571429 + -0.1428571429x + x2 = 0 + -0.1428571429

Combine like terms: 0.1428571429 + -0.1428571429 = 0.0000000000
0.0000000000 + -0.1428571429x + x2 = 0 + -0.1428571429
-0.1428571429x + x2 = 0 + -0.1428571429

Combine like terms: 0 + -0.1428571429 = -0.1428571429
-0.1428571429x + x2 = -0.1428571429

The x term is -0.1428571429x.  Take half its coefficient (-0.07142857145).
Square it (0.005102040819) and add it to both sides.

Add '0.005102040819' to each side of the equation.
-0.1428571429x + 0.005102040819 + x2 = -0.1428571429 + 0.005102040819

Reorder the terms:
0.005102040819 + -0.1428571429x + x2 = -0.1428571429 + 0.005102040819

Combine like terms: -0.1428571429 + 0.005102040819 = -0.137755102081
0.005102040819 + -0.1428571429x + x2 = -0.137755102081

Factor a perfect square on the left side:
(x + -0.07142857145)(x + -0.07142857145) = -0.137755102081

Can't calculate square root of the right side.

The solution to this equation could not be determined.