7x^2+6=17x-5

Solution for 7x^2+6=17x-5 equation:

Simplifying
7x2 + 6 = 17x + -5

Reorder the terms:
6 + 7x2 = 17x + -5

Reorder the terms:
6 + 7x2 = -5 + 17x

Solving
6 + 7x2 = -5 + 17x

Solving for variable 'x'.

Reorder the terms:
6 + 5 + -17x + 7x2 = -5 + 17x + 5 + -17x

Combine like terms: 6 + 5 = 11
11 + -17x + 7x2 = -5 + 17x + 5 + -17x

Reorder the terms:
11 + -17x + 7x2 = -5 + 5 + 17x + -17x

Combine like terms: -5 + 5 = 0
11 + -17x + 7x2 = 0 + 17x + -17x
11 + -17x + 7x2 = 17x + -17x

Combine like terms: 17x + -17x = 0
11 + -17x + 7x2 = 0

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

Divide each side by '7'.
1.571428571 + -2.428571429x + x2 = 0

Move the constant term to the right:

Add '-1.571428571' to each side of the equation.
1.571428571 + -2.428571429x + -1.571428571 + x2 = 0 + -1.571428571

Reorder the terms:
1.571428571 + -1.571428571 + -2.428571429x + x2 = 0 + -1.571428571

Combine like terms: 1.571428571 + -1.571428571 = 0.000000000
0.000000000 + -2.428571429x + x2 = 0 + -1.571428571
-2.428571429x + x2 = 0 + -1.571428571

Combine like terms: 0 + -1.571428571 = -1.571428571
-2.428571429x + x2 = -1.571428571

The x term is -2.428571429x.  Take half its coefficient (-1.214285715).
Square it (1.474489798) and add it to both sides.

Add '1.474489798' to each side of the equation.
-2.428571429x + 1.474489798 + x2 = -1.571428571 + 1.474489798

Reorder the terms:
1.474489798 + -2.428571429x + x2 = -1.571428571 + 1.474489798

Combine like terms: -1.571428571 + 1.474489798 = -0.096938773
1.474489798 + -2.428571429x + x2 = -0.096938773

Factor a perfect square on the left side:
(x + -1.214285715)(x + -1.214285715) = -0.096938773

Can't calculate square root of the right side.

The solution to this equation could not be determined.