4X^2+4X+13=0

Solution for 4X^2+4X+13=0 equation:

Simplifying
4X2 + 4X + 13 = 0

Reorder the terms:
13 + 4X + 4X2 = 0

Solving
13 + 4X + 4X2 = 0

Solving for variable 'X'.

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

Divide each side by '4'.
3.25 + X + X2 = 0

Move the constant term to the right:

Add '-3.25' to each side of the equation.
3.25 + X + -3.25 + X2 = 0 + -3.25

Reorder the terms:
3.25 + -3.25 + X + X2 = 0 + -3.25

Combine like terms: 3.25 + -3.25 = 0.00
0.00 + X + X2 = 0 + -3.25
X + X2 = 0 + -3.25

Combine like terms: 0 + -3.25 = -3.25
X + X2 = -3.25

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.
 + 0.25 + X2 = -3.25 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + X2 = -3.25 + 0.25

Combine like terms: -3.25 + 0.25 = -3
1.25 + X2 = -3

Factor a perfect square on the left side:
(X + 0.5)(X + 0.5) = -3

Can't calculate square root of the right side.

The solution to this equation could not be determined.