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

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


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

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

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

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

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

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

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

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

Combine like terms: -1x + 7x = 6x
2 + 2X + 1x + xX = (-7 + 6x + x2)

Solving
2 + 2X + 1x + xX = -7 + 6x + x2

Solving for variable 'X'.

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

Add '-2' to each side of the equation.
2 + 2X + 1x + -2 + xX = -7 + 6x + -2 + x2

Reorder the terms:
2 + -2 + 2X + 1x + xX = -7 + 6x + -2 + x2

Combine like terms: 2 + -2 = 0
0 + 2X + 1x + xX = -7 + 6x + -2 + x2
2X + 1x + xX = -7 + 6x + -2 + x2

Reorder the terms:
2X + 1x + xX = -7 + -2 + 6x + x2

Combine like terms: -7 + -2 = -9
2X + 1x + xX = -9 + 6x + x2

Add '-1x' to each side of the equation.
2X + 1x + -1x + xX = -9 + 6x + -1x + x2

Combine like terms: 1x + -1x = 0
2X + 0 + xX = -9 + 6x + -1x + x2
2X + xX = -9 + 6x + -1x + x2

Combine like terms: 6x + -1x = 5x
2X + xX = -9 + 5x + x2

Reorder the terms:
9 + 2X + -5x + xX + -1x2 = -9 + 5x + x2 + 9 + -5x + -1x2

Reorder the terms:
9 + 2X + -5x + xX + -1x2 = -9 + 9 + 5x + -5x + x2 + -1x2

Combine like terms: -9 + 9 = 0
9 + 2X + -5x + xX + -1x2 = 0 + 5x + -5x + x2 + -1x2
9 + 2X + -5x + xX + -1x2 = 5x + -5x + x2 + -1x2

Combine like terms: 5x + -5x = 0
9 + 2X + -5x + xX + -1x2 = 0 + x2 + -1x2
9 + 2X + -5x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
9 + 2X + -5x + xX + -1x2 = 0

The solution to this equation could not be determined.

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