(x+9)(x+4)=-7

Solution for (x+9)(x+4)=-7 equation:

Simplifying
(x + 9)(x + 4) = -7

Reorder the terms:
(9 + x)(x + 4) = -7

Reorder the terms:
(9 + x)(4 + x) = -7

Multiply (9 + x) * (4 + x)
(9(4 + x) + x(4 + x)) = -7
((4 * 9 + x * 9) + x(4 + x)) = -7
((36 + 9x) + x(4 + x)) = -7
(36 + 9x + (4 * x + x * x)) = -7
(36 + 9x + (4x + x2)) = -7

Combine like terms: 9x + 4x = 13x
(36 + 13x + x2) = -7

Solving
36 + 13x + x2 = -7

Solving for variable 'x'.

Reorder the terms:
36 + 7 + 13x + x2 = -7 + 7

Combine like terms: 36 + 7 = 43
43 + 13x + x2 = -7 + 7

Combine like terms: -7 + 7 = 0
43 + 13x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-43' to each side of the equation.
43 + 13x + -43 + x2 = 0 + -43

Reorder the terms:
43 + -43 + 13x + x2 = 0 + -43

Combine like terms: 43 + -43 = 0
0 + 13x + x2 = 0 + -43
13x + x2 = 0 + -43

Combine like terms: 0 + -43 = -43
13x + x2 = -43

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 = -43 + 42.25

Reorder the terms:
42.25 + 13x + x2 = -43 + 42.25

Combine like terms: -43 + 42.25 = -0.75
42.25 + 13x + x2 = -0.75

Factor a perfect square on the left side:
(x + 6.5)(x + 6.5) = -0.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.