x^2+14x+59=0

Solution for x^2+14x+59=0 equation:

Simplifying
x2 + 14x + 59 = 0

Reorder the terms:
59 + 14x + x2 = 0

Solving
59 + 14x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-59' to each side of the equation.
59 + 14x + -59 + x2 = 0 + -59

Reorder the terms:
59 + -59 + 14x + x2 = 0 + -59

Combine like terms: 59 + -59 = 0
0 + 14x + x2 = 0 + -59
14x + x2 = 0 + -59

Combine like terms: 0 + -59 = -59
14x + x2 = -59

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 = -59 + 49

Reorder the terms:
49 + 14x + x2 = -59 + 49

Combine like terms: -59 + 49 = -10
49 + 14x + x2 = -10

Factor a perfect square on the left side:
(x + 7)(x + 7) = -10

Can't calculate square root of the right side.

The solution to this equation could not be determined.