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

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


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

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

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

Multiply (7 + X) * (1 + x)
(7(1 + x) + X(1 + x)) = (x + 2)(x + 2) + 5x
((1 * 7 + x * 7) + X(1 + x)) = (x + 2)(x + 2) + 5x
((7 + 7x) + X(1 + x)) = (x + 2)(x + 2) + 5x
(7 + 7x + (1 * X + x * X)) = (x + 2)(x + 2) + 5x
(7 + 7x + (1X + xX)) = (x + 2)(x + 2) + 5x

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

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

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

Multiply (2 + x) * (2 + x)
7 + 1X + 7x + xX = (2(2 + x) + x(2 + x)) + 5x
7 + 1X + 7x + xX = ((2 * 2 + x * 2) + x(2 + x)) + 5x
7 + 1X + 7x + xX = ((4 + 2x) + x(2 + x)) + 5x
7 + 1X + 7x + xX = (4 + 2x + (2 * x + x * x)) + 5x
7 + 1X + 7x + xX = (4 + 2x + (2x + x2)) + 5x

Combine like terms: 2x + 2x = 4x
7 + 1X + 7x + xX = (4 + 4x + x2) + 5x

Reorder the terms:
7 + 1X + 7x + xX = 4 + 4x + 5x + x2

Combine like terms: 4x + 5x = 9x
7 + 1X + 7x + xX = 4 + 9x + x2

Solving
7 + 1X + 7x + xX = 4 + 9x + x2

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + 1X + 7x + -7 + xX = 4 + 9x + -7 + x2

Reorder the terms:
7 + -7 + 1X + 7x + xX = 4 + 9x + -7 + x2

Combine like terms: 7 + -7 = 0
0 + 1X + 7x + xX = 4 + 9x + -7 + x2
1X + 7x + xX = 4 + 9x + -7 + x2

Reorder the terms:
1X + 7x + xX = 4 + -7 + 9x + x2

Combine like terms: 4 + -7 = -3
1X + 7x + xX = -3 + 9x + x2

Add '-7x' to each side of the equation.
1X + 7x + -7x + xX = -3 + 9x + -7x + x2

Combine like terms: 7x + -7x = 0
1X + 0 + xX = -3 + 9x + -7x + x2
1X + xX = -3 + 9x + -7x + x2

Combine like terms: 9x + -7x = 2x
1X + xX = -3 + 2x + x2

Reorder the terms:
3 + 1X + -2x + xX + -1x2 = -3 + 2x + x2 + 3 + -2x + -1x2

Reorder the terms:
3 + 1X + -2x + xX + -1x2 = -3 + 3 + 2x + -2x + x2 + -1x2

Combine like terms: -3 + 3 = 0
3 + 1X + -2x + xX + -1x2 = 0 + 2x + -2x + x2 + -1x2
3 + 1X + -2x + xX + -1x2 = 2x + -2x + x2 + -1x2

Combine like terms: 2x + -2x = 0
3 + 1X + -2x + xX + -1x2 = 0 + x2 + -1x2
3 + 1X + -2x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
3 + 1X + -2x + xX + -1x2 = 0

The solution to this equation could not be determined.

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