x^2+7x+12=-22

Solution for x^2+7x+12=-22 equation:

Simplifying
x2 + 7x + 12 = -22

Reorder the terms:
12 + 7x + x2 = -22

Solving
12 + 7x + x2 = -22

Solving for variable 'x'.

Reorder the terms:
12 + 22 + 7x + x2 = -22 + 22

Combine like terms: 12 + 22 = 34
34 + 7x + x2 = -22 + 22

Combine like terms: -22 + 22 = 0
34 + 7x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-34' to each side of the equation.
34 + 7x + -34 + x2 = 0 + -34

Reorder the terms:
34 + -34 + 7x + x2 = 0 + -34

Combine like terms: 34 + -34 = 0
0 + 7x + x2 = 0 + -34
7x + x2 = 0 + -34

Combine like terms: 0 + -34 = -34
7x + x2 = -34

The x term is 7x.  Take half its coefficient (3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
7x + 12.25 + x2 = -34 + 12.25

Reorder the terms:
12.25 + 7x + x2 = -34 + 12.25

Combine like terms: -34 + 12.25 = -21.75
12.25 + 7x + x2 = -21.75

Factor a perfect square on the left side:
(x + 3.5)(x + 3.5) = -21.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.