2X^2+2X+65=0

Solution for 2X^2+2X+65=0 equation:

Simplifying
2X2 + 2X + 65 = 0

Reorder the terms:
65 + 2X + 2X2 = 0

Solving
65 + 2X + 2X2 = 0

Solving for variable 'X'.

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

Divide each side by '2'.
32.5 + X + X2 = 0

Move the constant term to the right:

Add '-32.5' to each side of the equation.
32.5 + X + -32.5 + X2 = 0 + -32.5

Reorder the terms:
32.5 + -32.5 + X + X2 = 0 + -32.5

Combine like terms: 32.5 + -32.5 = 0.0
0.0 + X + X2 = 0 + -32.5
X + X2 = 0 + -32.5

Combine like terms: 0 + -32.5 = -32.5
X + X2 = -32.5

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 = -32.5 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + X2 = -32.5 + 0.25

Combine like terms: -32.5 + 0.25 = -32.25
1.25 + X2 = -32.25

Factor a perfect square on the left side:
(X + 0.5)(X + 0.5) = -32.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.