x^2+13x=-48

Solution for x^2+13x=-48 equation:

Simplifying
x2 + 13x = -48

Reorder the terms:
13x + x2 = -48

Solving
13x + x2 = -48

Solving for variable 'x'.

Reorder the terms:
48 + 13x + x2 = -48 + 48

Combine like terms: -48 + 48 = 0
48 + 13x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-48' to each side of the equation.
48 + 13x + -48 + x2 = 0 + -48

Reorder the terms:
48 + -48 + 13x + x2 = 0 + -48

Combine like terms: 48 + -48 = 0
0 + 13x + x2 = 0 + -48
13x + x2 = 0 + -48

Combine like terms: 0 + -48 = -48
13x + x2 = -48

The x term is 13x.  Take half its coefficient (6.5).
Square it (42.25) and add it to both sides.

Add '42.25' to each side of the equation.
13x + 42.25 + x2 = -48 + 42.25

Reorder the terms:
42.25 + 13x + x2 = -48 + 42.25

Combine like terms: -48 + 42.25 = -5.75
42.25 + 13x + x2 = -5.75

Factor a perfect square on the left side:
(x + 6.5)(x + 6.5) = -5.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.