6=(x^2)-52x+695

Solution for 6=(x^2)-52x+695 equation:

Simplifying
6 = (x2) + -52x + 695
6 = x2 + -52x + 695

Reorder the terms:
6 = 695 + -52x + x2

Solving
6 = 695 + -52x + x2

Solving for variable 'x'.

Combine like terms: 6 + -695 = -689
-689 + 52x + -1x2 = 695 + -52x + x2 + -695 + 52x + -1x2

Reorder the terms:
-689 + 52x + -1x2 = 695 + -695 + -52x + 52x + x2 + -1x2

Combine like terms: 695 + -695 = 0
-689 + 52x + -1x2 = 0 + -52x + 52x + x2 + -1x2
-689 + 52x + -1x2 = -52x + 52x + x2 + -1x2

Combine like terms: -52x + 52x = 0
-689 + 52x + -1x2 = 0 + x2 + -1x2
-689 + 52x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-689 + 52x + -1x2 = 0

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

Divide each side by '-1'.
689 + -52x + x2 = 0

Move the constant term to the right:

Add '-689' to each side of the equation.
689 + -52x + -689 + x2 = 0 + -689

Reorder the terms:
689 + -689 + -52x + x2 = 0 + -689

Combine like terms: 689 + -689 = 0
0 + -52x + x2 = 0 + -689
-52x + x2 = 0 + -689

Combine like terms: 0 + -689 = -689
-52x + x2 = -689

The x term is -52x.  Take half its coefficient (-26).
Square it (676) and add it to both sides.

Add '676' to each side of the equation.
-52x + 676 + x2 = -689 + 676

Reorder the terms:
676 + -52x + x2 = -689 + 676

Combine like terms: -689 + 676 = -13
676 + -52x + x2 = -13

Factor a perfect square on the left side:
(x + -26)(x + -26) = -13

Can't calculate square root of the right side.

The solution to this equation could not be determined.