x^2-13=x-49

Solution for x^2-13=x-49 equation:

Simplifying
x2 + -13 = x + -49

Reorder the terms:
-13 + x2 = x + -49

Reorder the terms:
-13 + x2 = -49 + x

Solving
-13 + x2 = -49 + x

Solving for variable 'x'.

Reorder the terms:
-13 + 49 + -1x + x2 = -49 + x + 49 + -1x

Combine like terms: -13 + 49 = 36
36 + -1x + x2 = -49 + x + 49 + -1x

Reorder the terms:
36 + -1x + x2 = -49 + 49 + x + -1x

Combine like terms: -49 + 49 = 0
36 + -1x + x2 = 0 + x + -1x
36 + -1x + x2 = x + -1x

Combine like terms: x + -1x = 0
36 + -1x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-36' to each side of the equation.
36 + -1x + -36 + x2 = 0 + -36

Reorder the terms:
36 + -36 + -1x + x2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -1x + x2 = 0 + -36
-1x + x2 = 0 + -36

Combine like terms: 0 + -36 = -36
-1x + x2 = -36

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -36 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -36 + 0.25

Combine like terms: -36 + 0.25 = -35.75
0.25 + -1x + x2 = -35.75

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -35.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.