x^2+14x+105=0

Solution for x^2+14x+105=0 equation:

Simplifying
x2 + 14x + 105 = 0

Reorder the terms:
105 + 14x + x2 = 0

Solving
105 + 14x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-105' to each side of the equation.
105 + 14x + -105 + x2 = 0 + -105

Reorder the terms:
105 + -105 + 14x + x2 = 0 + -105

Combine like terms: 105 + -105 = 0
0 + 14x + x2 = 0 + -105
14x + x2 = 0 + -105

Combine like terms: 0 + -105 = -105
14x + x2 = -105

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 = -105 + 49

Reorder the terms:
49 + 14x + x2 = -105 + 49

Combine like terms: -105 + 49 = -56
49 + 14x + x2 = -56

Factor a perfect square on the left side:
(x + 7)(x + 7) = -56

Can't calculate square root of the right side.

The solution to this equation could not be determined.