8x^2+45=17x-1

Solution for 8x^2+45=17x-1 equation:

Simplifying
8x2 + 45 = 17x + -1

Reorder the terms:
45 + 8x2 = 17x + -1

Reorder the terms:
45 + 8x2 = -1 + 17x

Solving
45 + 8x2 = -1 + 17x

Solving for variable 'x'.

Reorder the terms:
45 + 1 + -17x + 8x2 = -1 + 17x + 1 + -17x

Combine like terms: 45 + 1 = 46
46 + -17x + 8x2 = -1 + 17x + 1 + -17x

Reorder the terms:
46 + -17x + 8x2 = -1 + 1 + 17x + -17x

Combine like terms: -1 + 1 = 0
46 + -17x + 8x2 = 0 + 17x + -17x
46 + -17x + 8x2 = 17x + -17x

Combine like terms: 17x + -17x = 0
46 + -17x + 8x2 = 0

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

Divide each side by '8'.
5.75 + -2.125x + x2 = 0

Move the constant term to the right:

Add '-5.75' to each side of the equation.
5.75 + -2.125x + -5.75 + x2 = 0 + -5.75

Reorder the terms:
5.75 + -5.75 + -2.125x + x2 = 0 + -5.75

Combine like terms: 5.75 + -5.75 = 0.00
0.00 + -2.125x + x2 = 0 + -5.75
-2.125x + x2 = 0 + -5.75

Combine like terms: 0 + -5.75 = -5.75
-2.125x + x2 = -5.75

The x term is -2.125x.  Take half its coefficient (-1.0625).
Square it (1.12890625) and add it to both sides.

Add '1.12890625' to each side of the equation.
-2.125x + 1.12890625 + x2 = -5.75 + 1.12890625

Reorder the terms:
1.12890625 + -2.125x + x2 = -5.75 + 1.12890625

Combine like terms: -5.75 + 1.12890625 = -4.62109375
1.12890625 + -2.125x + x2 = -4.62109375

Factor a perfect square on the left side:
(x + -1.0625)(x + -1.0625) = -4.62109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.