x+2=x^2-36+324

Solution for x+2=x^2-36+324 equation:

Simplifying
x + 2 = x2 + -36 + 324

Reorder the terms:
2 + x = x2 + -36 + 324

Reorder the terms:
2 + x = -36 + 324 + x2

Combine like terms: -36 + 324 = 288
2 + x = 288 + x2

Solving
2 + x = 288 + x2

Solving for variable 'x'.

Reorder the terms:
2 + -288 + x + -1x2 = 288 + x2 + -288 + -1x2

Combine like terms: 2 + -288 = -286
-286 + x + -1x2 = 288 + x2 + -288 + -1x2

Reorder the terms:
-286 + x + -1x2 = 288 + -288 + x2 + -1x2

Combine like terms: 288 + -288 = 0
-286 + x + -1x2 = 0 + x2 + -1x2
-286 + x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-286 + x + -1x2 = 0

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

Divide each side by '-1'.
286 + -1x + x2 = 0

Move the constant term to the right:

Add '-286' to each side of the equation.
286 + -1x + -286 + x2 = 0 + -286

Reorder the terms:
286 + -286 + -1x + x2 = 0 + -286

Combine like terms: 286 + -286 = 0
0 + -1x + x2 = 0 + -286
-1x + x2 = 0 + -286

Combine like terms: 0 + -286 = -286
-1x + x2 = -286

The x term is x.  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 = -286 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -286 + 0.25

Combine like terms: -286 + 0.25 = -285.75
0.25 + -1x + x2 = -285.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -285.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.