x^2-8x+57=0

Solution for x^2-8x+57=0 equation:

Simplifying
x2 + -8x + 57 = 0

Reorder the terms:
57 + -8x + x2 = 0

Solving
57 + -8x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-57' to each side of the equation.
57 + -8x + -57 + x2 = 0 + -57

Reorder the terms:
57 + -57 + -8x + x2 = 0 + -57

Combine like terms: 57 + -57 = 0
0 + -8x + x2 = 0 + -57
-8x + x2 = 0 + -57

Combine like terms: 0 + -57 = -57
-8x + x2 = -57

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 = -57 + 16

Reorder the terms:
16 + -8x + x2 = -57 + 16

Combine like terms: -57 + 16 = -41
16 + -8x + x2 = -41

Factor a perfect square on the left side:
(x + -4)(x + -4) = -41

Can't calculate square root of the right side.

The solution to this equation could not be determined.