(x+8)(x+9)=-52

Solution for (x+8)(x+9)=-52 equation:

Simplifying
(x + 8)(x + 9) = -52

Reorder the terms:
(8 + x)(x + 9) = -52

Reorder the terms:
(8 + x)(9 + x) = -52

Multiply (8 + x) * (9 + x)
(8(9 + x) + x(9 + x)) = -52
((9 * 8 + x * 8) + x(9 + x)) = -52
((72 + 8x) + x(9 + x)) = -52
(72 + 8x + (9 * x + x * x)) = -52
(72 + 8x + (9x + x2)) = -52

Combine like terms: 8x + 9x = 17x
(72 + 17x + x2) = -52

Solving
72 + 17x + x2 = -52

Solving for variable 'x'.

Reorder the terms:
72 + 52 + 17x + x2 = -52 + 52

Combine like terms: 72 + 52 = 124
124 + 17x + x2 = -52 + 52

Combine like terms: -52 + 52 = 0
124 + 17x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-124' to each side of the equation.
124 + 17x + -124 + x2 = 0 + -124

Reorder the terms:
124 + -124 + 17x + x2 = 0 + -124

Combine like terms: 124 + -124 = 0
0 + 17x + x2 = 0 + -124
17x + x2 = 0 + -124

Combine like terms: 0 + -124 = -124
17x + x2 = -124

The x term is 17x.  Take half its coefficient (8.5).
Square it (72.25) and add it to both sides.

Add '72.25' to each side of the equation.
17x + 72.25 + x2 = -124 + 72.25

Reorder the terms:
72.25 + 17x + x2 = -124 + 72.25

Combine like terms: -124 + 72.25 = -51.75
72.25 + 17x + x2 = -51.75

Factor a perfect square on the left side:
(x + 8.5)(x + 8.5) = -51.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.