=x^2-8x+67

Solution for =x^2-8x+67 equation:

Simplifying
0 = x2 + -8x + 67

Reorder the terms:
0 = 67 + -8x + x2

Solving
0 = 67 + -8x + x2

Solving for variable 'x'.

Combine like terms: 0 + -67 = -67
-67 + 8x + -1x2 = 67 + -8x + x2 + -67 + 8x + -1x2

Reorder the terms:
-67 + 8x + -1x2 = 67 + -67 + -8x + 8x + x2 + -1x2

Combine like terms: 67 + -67 = 0
-67 + 8x + -1x2 = 0 + -8x + 8x + x2 + -1x2
-67 + 8x + -1x2 = -8x + 8x + x2 + -1x2

Combine like terms: -8x + 8x = 0
-67 + 8x + -1x2 = 0 + x2 + -1x2
-67 + 8x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-67 + 8x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
67 + -8x + x2 = 0

Move the constant term to the right:

Add '-67' to each side of the equation.
67 + -8x + -67 + x2 = 0 + -67

Reorder the terms:
67 + -67 + -8x + x2 = 0 + -67

Combine like terms: 67 + -67 = 0
0 + -8x + x2 = 0 + -67
-8x + x2 = 0 + -67

Combine like terms: 0 + -67 = -67
-8x + x2 = -67

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 = -67 + 16

Reorder the terms:
16 + -8x + x2 = -67 + 16

Combine like terms: -67 + 16 = -51
16 + -8x + x2 = -51

Factor a perfect square on the left side:
(x + -4)(x + -4) = -51

Can't calculate square root of the right side.

The solution to this equation could not be determined.