x^2-8x+33=0

Solution for x^2-8x+33=0 equation:

Simplifying
x2 + -8x + 33 = 0

Reorder the terms:
33 + -8x + x2 = 0

Solving
33 + -8x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-33' to each side of the equation.
33 + -8x + -33 + x2 = 0 + -33

Reorder the terms:
33 + -33 + -8x + x2 = 0 + -33

Combine like terms: 33 + -33 = 0
0 + -8x + x2 = 0 + -33
-8x + x2 = 0 + -33

Combine like terms: 0 + -33 = -33
-8x + x2 = -33

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 = -33 + 16

Reorder the terms:
16 + -8x + x2 = -33 + 16

Combine like terms: -33 + 16 = -17
16 + -8x + x2 = -17

Factor a perfect square on the left side:
(x + -4)(x + -4) = -17

Can't calculate square root of the right side.

The solution to this equation could not be determined.