X^2+3=X-3

Solution for X^2+3=X-3 equation:

Simplifying
X2 + 3 = X + -3

Reorder the terms:
3 + X2 = X + -3

Reorder the terms:
3 + X2 = -3 + X

Solving
3 + X2 = -3 + X

Solving for variable 'X'.

Reorder the terms:
3 + 3 + -1X + X2 = -3 + X + 3 + -1X

Combine like terms: 3 + 3 = 6
6 + -1X + X2 = -3 + X + 3 + -1X

Reorder the terms:
6 + -1X + X2 = -3 + 3 + X + -1X

Combine like terms: -3 + 3 = 0
6 + -1X + X2 = 0 + X + -1X
6 + -1X + X2 = X + -1X

Combine like terms: X + -1X = 0
6 + -1X + X2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -1X + -6 + X2 = 0 + -6

Reorder the terms:
6 + -6 + -1X + X2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1X + X2 = 0 + -6
-1X + X2 = 0 + -6

Combine like terms: 0 + -6 = -6
-1X + X2 = -6

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 = -6 + 0.25

Reorder the terms:
0.25 + -1X + X2 = -6 + 0.25

Combine like terms: -6 + 0.25 = -5.75
0.25 + -1X + X2 = -5.75

Factor a perfect square on the left side:
(X + -0.5)(X + -0.5) = -5.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.