(x+7)(x+1)=(x+2)2+5x

Solution for (x+7)(x+1)=(x+2)2+5x equation:

Simplifying
(x + 7)(x + 1) = (x + 2) * 2 + 5x

Reorder the terms:
(7 + x)(x + 1) = (x + 2) * 2 + 5x

Reorder the terms:
(7 + x)(1 + x) = (x + 2) * 2 + 5x

Multiply (7 + x) * (1 + x)
(7(1 + x) + x(1 + x)) = (x + 2) * 2 + 5x
((1 * 7 + x * 7) + x(1 + x)) = (x + 2) * 2 + 5x
((7 + 7x) + x(1 + x)) = (x + 2) * 2 + 5x
(7 + 7x + (1 * x + x * x)) = (x + 2) * 2 + 5x
(7 + 7x + (1x + x2)) = (x + 2) * 2 + 5x

Combine like terms: 7x + 1x = 8x
(7 + 8x + x2) = (x + 2) * 2 + 5x

Reorder the terms:
7 + 8x + x2 = (2 + x) * 2 + 5x

Reorder the terms for easier multiplication:
7 + 8x + x2 = 2(2 + x) + 5x
7 + 8x + x2 = (2 * 2 + x * 2) + 5x
7 + 8x + x2 = (4 + 2x) + 5x

Combine like terms: 2x + 5x = 7x
7 + 8x + x2 = 4 + 7x

Solving
7 + 8x + x2 = 4 + 7x

Solving for variable 'x'.

Reorder the terms:
7 + -4 + 8x + -7x + x2 = 4 + 7x + -4 + -7x

Combine like terms: 7 + -4 = 3
3 + 8x + -7x + x2 = 4 + 7x + -4 + -7x

Combine like terms: 8x + -7x = 1x
3 + 1x + x2 = 4 + 7x + -4 + -7x

Reorder the terms:
3 + 1x + x2 = 4 + -4 + 7x + -7x

Combine like terms: 4 + -4 = 0
3 + 1x + x2 = 0 + 7x + -7x
3 + 1x + x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
3 + 1x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + 1x + -3 + x2 = 0 + -3

Reorder the terms:
3 + -3 + 1x + x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 1x + x2 = 0 + -3
1x + x2 = 0 + -3

Combine like terms: 0 + -3 = -3
1x + x2 = -3

The x term is 1x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
x + 0.25 + x2 = -3 + 0.25

Reorder the terms:
0.25 + x + x2 = -3 + 0.25

Combine like terms: -3 + 0.25 = -2.75
0.25 + x + x2 = -2.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -2.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.