x^2+8x+61=0

Solution for x^2+8x+61=0 equation:

Simplifying
x2 + 8x + 61 = 0

Reorder the terms:
61 + 8x + x2 = 0

Solving
61 + 8x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-61' to each side of the equation.
61 + 8x + -61 + x2 = 0 + -61

Reorder the terms:
61 + -61 + 8x + x2 = 0 + -61

Combine like terms: 61 + -61 = 0
0 + 8x + x2 = 0 + -61
8x + x2 = 0 + -61

Combine like terms: 0 + -61 = -61
8x + x2 = -61

The x term is 8x.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8x + 16 + x2 = -61 + 16

Reorder the terms:
16 + 8x + x2 = -61 + 16

Combine like terms: -61 + 16 = -45
16 + 8x + x2 = -45

Factor a perfect square on the left side:
(x + 4)(x + 4) = -45

Can't calculate square root of the right side.

The solution to this equation could not be determined.