x^2+6x=-42

Solution for x^2+6x=-42 equation:

Simplifying
x2 + 6x = -42

Reorder the terms:
6x + x2 = -42

Solving
6x + x2 = -42

Solving for variable 'x'.

Reorder the terms:
42 + 6x + x2 = -42 + 42

Combine like terms: -42 + 42 = 0
42 + 6x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-42' to each side of the equation.
42 + 6x + -42 + x2 = 0 + -42

Reorder the terms:
42 + -42 + 6x + x2 = 0 + -42

Combine like terms: 42 + -42 = 0
0 + 6x + x2 = 0 + -42
6x + x2 = 0 + -42

Combine like terms: 0 + -42 = -42
6x + x2 = -42

The x term is 6x.  Take half its coefficient (3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
6x + 9 + x2 = -42 + 9

Reorder the terms:
9 + 6x + x2 = -42 + 9

Combine like terms: -42 + 9 = -33
9 + 6x + x2 = -33

Factor a perfect square on the left side:
(x + 3)(x + 3) = -33

Can't calculate square root of the right side.

The solution to this equation could not be determined.