x^2+14x+48=-16

Solution for x^2+14x+48=-16 equation:

Simplifying
x2 + 14x + 48 = -16

Reorder the terms:
48 + 14x + x2 = -16

Solving
48 + 14x + x2 = -16

Solving for variable 'x'.

Reorder the terms:
48 + 16 + 14x + x2 = -16 + 16

Combine like terms: 48 + 16 = 64
64 + 14x + x2 = -16 + 16

Combine like terms: -16 + 16 = 0
64 + 14x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-64' to each side of the equation.
64 + 14x + -64 + x2 = 0 + -64

Reorder the terms:
64 + -64 + 14x + x2 = 0 + -64

Combine like terms: 64 + -64 = 0
0 + 14x + x2 = 0 + -64
14x + x2 = 0 + -64

Combine like terms: 0 + -64 = -64
14x + x2 = -64

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 = -64 + 49

Reorder the terms:
49 + 14x + x2 = -64 + 49

Combine like terms: -64 + 49 = -15
49 + 14x + x2 = -15

Factor a perfect square on the left side:
(x + 7)(x + 7) = -15

Can't calculate square root of the right side.

The solution to this equation could not be determined.