x^2+14x+61=0

Solution for x^2+14x+61=0 equation:

Simplifying
x2 + 14x + 61 = 0

Reorder the terms:
61 + 14x + x2 = 0

Solving
61 + 14x + 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 + 14x + -61 + x2 = 0 + -61

Reorder the terms:
61 + -61 + 14x + x2 = 0 + -61

Combine like terms: 61 + -61 = 0
0 + 14x + x2 = 0 + -61
14x + x2 = 0 + -61

Combine like terms: 0 + -61 = -61
14x + x2 = -61

The x term is 14x.  Take half its coefficient (7).
Square it (49) and add it to both sides.

Add '49' to each side of the equation.
14x + 49 + x2 = -61 + 49

Reorder the terms:
49 + 14x + x2 = -61 + 49

Combine like terms: -61 + 49 = -12
49 + 14x + x2 = -12

Factor a perfect square on the left side:
(x + 7)(x + 7) = -12

Can't calculate square root of the right side.

The solution to this equation could not be determined.