x^2+2x+65=0

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

Simplifying
x2 + 2x + 65 = 0

Reorder the terms:
65 + 2x + x2 = 0

Solving
65 + 2x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-65' to each side of the equation.
65 + 2x + -65 + x2 = 0 + -65

Reorder the terms:
65 + -65 + 2x + x2 = 0 + -65

Combine like terms: 65 + -65 = 0
0 + 2x + x2 = 0 + -65
2x + x2 = 0 + -65

Combine like terms: 0 + -65 = -65
2x + x2 = -65

The x term is 2x.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2x + 1 + x2 = -65 + 1

Reorder the terms:
1 + 2x + x2 = -65 + 1

Combine like terms: -65 + 1 = -64
1 + 2x + x2 = -64

Factor a perfect square on the left side:
(x + 1)(x + 1) = -64

Can't calculate square root of the right side.

The solution to this equation could not be determined.