7x-7=(x+1)(x+1)

Solution for 7x-7=(x+1)(x+1) equation:

Simplifying
7x + -7 = (x + 1)(x + 1)

Reorder the terms:
-7 + 7x = (x + 1)(x + 1)

Reorder the terms:
-7 + 7x = (1 + x)(x + 1)

Reorder the terms:
-7 + 7x = (1 + x)(1 + x)

Multiply (1 + x) * (1 + x)
-7 + 7x = (1(1 + x) + x(1 + x))
-7 + 7x = ((1 * 1 + x * 1) + x(1 + x))
-7 + 7x = ((1 + 1x) + x(1 + x))
-7 + 7x = (1 + 1x + (1 * x + x * x))
-7 + 7x = (1 + 1x + (1x + x2))

Combine like terms: 1x + 1x = 2x
-7 + 7x = (1 + 2x + x2)

Solving
-7 + 7x = 1 + 2x + x2

Solving for variable 'x'.

Reorder the terms:
-7 + -1 + 7x + -2x + -1x2 = 1 + 2x + x2 + -1 + -2x + -1x2

Combine like terms: -7 + -1 = -8
-8 + 7x + -2x + -1x2 = 1 + 2x + x2 + -1 + -2x + -1x2

Combine like terms: 7x + -2x = 5x
-8 + 5x + -1x2 = 1 + 2x + x2 + -1 + -2x + -1x2

Reorder the terms:
-8 + 5x + -1x2 = 1 + -1 + 2x + -2x + x2 + -1x2

Combine like terms: 1 + -1 = 0
-8 + 5x + -1x2 = 0 + 2x + -2x + x2 + -1x2
-8 + 5x + -1x2 = 2x + -2x + x2 + -1x2

Combine like terms: 2x + -2x = 0
-8 + 5x + -1x2 = 0 + x2 + -1x2
-8 + 5x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-8 + 5x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
8 + -5x + x2 = 0

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + -5x + -8 + x2 = 0 + -8

Reorder the terms:
8 + -8 + -5x + x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5x + x2 = 0 + -8
-5x + x2 = 0 + -8

Combine like terms: 0 + -8 = -8
-5x + x2 = -8

The x term is -5x.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5x + 6.25 + x2 = -8 + 6.25

Reorder the terms:
6.25 + -5x + x2 = -8 + 6.25

Combine like terms: -8 + 6.25 = -1.75
6.25 + -5x + x2 = -1.75

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = -1.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.