(x+6)(x+1)=-10

Solution for (x+6)(x+1)=-10 equation:

Simplifying
(x + 6)(x + 1) = -10

Reorder the terms:
(6 + x)(x + 1) = -10

Reorder the terms:
(6 + x)(1 + x) = -10

Multiply (6 + x) * (1 + x)
(6(1 + x) + x(1 + x)) = -10
((1 * 6 + x * 6) + x(1 + x)) = -10
((6 + 6x) + x(1 + x)) = -10
(6 + 6x + (1 * x + x * x)) = -10
(6 + 6x + (1x + x2)) = -10

Combine like terms: 6x + 1x = 7x
(6 + 7x + x2) = -10

Solving
6 + 7x + x2 = -10

Solving for variable 'x'.

Reorder the terms:
6 + 10 + 7x + x2 = -10 + 10

Combine like terms: 6 + 10 = 16
16 + 7x + x2 = -10 + 10

Combine like terms: -10 + 10 = 0
16 + 7x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-16' to each side of the equation.
16 + 7x + -16 + x2 = 0 + -16

Reorder the terms:
16 + -16 + 7x + x2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 7x + x2 = 0 + -16
7x + x2 = 0 + -16

Combine like terms: 0 + -16 = -16
7x + x2 = -16

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 = -16 + 12.25

Reorder the terms:
12.25 + 7x + x2 = -16 + 12.25

Combine like terms: -16 + 12.25 = -3.75
12.25 + 7x + x2 = -3.75

Factor a perfect square on the left side:
(x + 3.5)(x + 3.5) = -3.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.