x^2+13+40=x

Solution for x^2+13+40=x equation:

Simplifying
x2 + 13 + 40 = x

Reorder the terms:
13 + 40 + x2 = x

Combine like terms: 13 + 40 = 53
53 + x2 = x

Solving
53 + x2 = x

Solving for variable 'x'.

Reorder the terms:
53 + -1x + x2 = x + -1x

Combine like terms: x + -1x = 0
53 + -1x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-53' to each side of the equation.
53 + -1x + -53 + x2 = 0 + -53

Reorder the terms:
53 + -53 + -1x + x2 = 0 + -53

Combine like terms: 53 + -53 = 0
0 + -1x + x2 = 0 + -53
-1x + x2 = 0 + -53

Combine like terms: 0 + -53 = -53
-1x + x2 = -53

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 = -53 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -53 + 0.25

Combine like terms: -53 + 0.25 = -52.75
0.25 + -1x + x2 = -52.75

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -52.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.