x^2-8x+34=0

Solution for x^2-8x+34=0 equation:

Simplifying
x2 + -8x + 34 = 0

Reorder the terms:
34 + -8x + x2 = 0

Solving
34 + -8x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-34' to each side of the equation.
34 + -8x + -34 + x2 = 0 + -34

Reorder the terms:
34 + -34 + -8x + x2 = 0 + -34

Combine like terms: 34 + -34 = 0
0 + -8x + x2 = 0 + -34
-8x + x2 = 0 + -34

Combine like terms: 0 + -34 = -34
-8x + x2 = -34

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = -34 + 16

Reorder the terms:
16 + -8x + x2 = -34 + 16

Combine like terms: -34 + 16 = -18
16 + -8x + x2 = -18

Factor a perfect square on the left side:
(x + -4)(x + -4) = -18

Can't calculate square root of the right side.

The solution to this equation could not be determined.