0=X^2+X+3

Solution for 0=X^2+X+3 equation:

Simplifying
0 = X2 + X + 3

Reorder the terms:
0 = 3 + X + X2

Solving
0 = 3 + X + X2

Solving for variable 'X'.

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

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

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

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

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

Factor out the Greatest Common Factor (GCF), '-1'.
-1(3 + X + X2) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(3 + X + X2)' equal to zero and attempt to solve:

Simplifying
3 + X + X2 = 0

Solving
3 + X + X2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + X + -3 + X2 = 0 + -3

Reorder the terms:
3 + -3 + X + X2 = 0 + -3

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

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

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.
X + 0.25 + X2 = -3 + 0.25

Reorder the terms:
0.25 + X + X2 = -3 + 0.25

Combine like terms: -3 + 0.25 = -2.75
0.25 + X + X2 = -2.75

Factor a perfect square on the left side:
(X + 0.5)(X + 0.5) = -2.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.