8x^2+8x+9=17x-5

Solution for 8x^2+8x+9=17x-5 equation:

Simplifying
8x2 + 8x + 9 = 17x + -5

Reorder the terms:
9 + 8x + 8x2 = 17x + -5

Reorder the terms:
9 + 8x + 8x2 = -5 + 17x

Solving
9 + 8x + 8x2 = -5 + 17x

Solving for variable 'x'.

Reorder the terms:
9 + 5 + 8x + -17x + 8x2 = -5 + 17x + 5 + -17x

Combine like terms: 9 + 5 = 14
14 + 8x + -17x + 8x2 = -5 + 17x + 5 + -17x

Combine like terms: 8x + -17x = -9x
14 + -9x + 8x2 = -5 + 17x + 5 + -17x

Reorder the terms:
14 + -9x + 8x2 = -5 + 5 + 17x + -17x

Combine like terms: -5 + 5 = 0
14 + -9x + 8x2 = 0 + 17x + -17x
14 + -9x + 8x2 = 17x + -17x

Combine like terms: 17x + -17x = 0
14 + -9x + 8x2 = 0

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

Divide each side by '8'.
1.75 + -1.125x + x2 = 0

Move the constant term to the right:

Add '-1.75' to each side of the equation.
1.75 + -1.125x + -1.75 + x2 = 0 + -1.75

Reorder the terms:
1.75 + -1.75 + -1.125x + x2 = 0 + -1.75

Combine like terms: 1.75 + -1.75 = 0.00
0.00 + -1.125x + x2 = 0 + -1.75
-1.125x + x2 = 0 + -1.75

Combine like terms: 0 + -1.75 = -1.75
-1.125x + x2 = -1.75

The x term is -1.125x.  Take half its coefficient (-0.5625).
Square it (0.31640625) and add it to both sides.

Add '0.31640625' to each side of the equation.
-1.125x + 0.31640625 + x2 = -1.75 + 0.31640625

Reorder the terms:
0.31640625 + -1.125x + x2 = -1.75 + 0.31640625

Combine like terms: -1.75 + 0.31640625 = -1.43359375
0.31640625 + -1.125x + x2 = -1.43359375

Factor a perfect square on the left side:
(x + -0.5625)(x + -0.5625) = -1.43359375

Can't calculate square root of the right side.

The solution to this equation could not be determined.