x^2+14x=-112

Solution for x^2+14x=-112 equation:

Simplifying
x2 + 14x = -112

Reorder the terms:
14x + x2 = -112

Solving
14x + x2 = -112

Solving for variable 'x'.

Reorder the terms:
112 + 14x + x2 = -112 + 112

Combine like terms: -112 + 112 = 0
112 + 14x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-112' to each side of the equation.
112 + 14x + -112 + x2 = 0 + -112

Reorder the terms:
112 + -112 + 14x + x2 = 0 + -112

Combine like terms: 112 + -112 = 0
0 + 14x + x2 = 0 + -112
14x + x2 = 0 + -112

Combine like terms: 0 + -112 = -112
14x + x2 = -112

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 = -112 + 49

Reorder the terms:
49 + 14x + x2 = -112 + 49

Combine like terms: -112 + 49 = -63
49 + 14x + x2 = -63

Factor a perfect square on the left side:
(x + 7)(x + 7) = -63

Can't calculate square root of the right side.

The solution to this equation could not be determined.