(X+1)(x+1)=(x-3)(x-4)

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Solution for (X+1)(x+1)=(x-3)(x-4) equation: 


Simplifying
(X + 1)(x + 1) = (x + -3)(x + -4)

Reorder the terms:
(1 + X)(x + 1) = (x + -3)(x + -4)

Reorder the terms:
(1 + X)(1 + x) = (x + -3)(x + -4)

Multiply (1 + X) * (1 + x)
(1(1 + x) + X(1 + x)) = (x + -3)(x + -4)
((1 * 1 + x * 1) + X(1 + x)) = (x + -3)(x + -4)
((1 + 1x) + X(1 + x)) = (x + -3)(x + -4)
(1 + 1x + (1 * X + x * X)) = (x + -3)(x + -4)
(1 + 1x + (1X + xX)) = (x + -3)(x + -4)

Reorder the terms:
(1 + 1X + 1x + xX) = (x + -3)(x + -4)
(1 + 1X + 1x + xX) = (x + -3)(x + -4)

Reorder the terms:
1 + 1X + 1x + xX = (-3 + x)(x + -4)

Reorder the terms:
1 + 1X + 1x + xX = (-3 + x)(-4 + x)

Multiply (-3 + x) * (-4 + x)
1 + 1X + 1x + xX = (-3(-4 + x) + x(-4 + x))
1 + 1X + 1x + xX = ((-4 * -3 + x * -3) + x(-4 + x))
1 + 1X + 1x + xX = ((12 + -3x) + x(-4 + x))
1 + 1X + 1x + xX = (12 + -3x + (-4 * x + x * x))
1 + 1X + 1x + xX = (12 + -3x + (-4x + x2))

Combine like terms: -3x + -4x = -7x
1 + 1X + 1x + xX = (12 + -7x + x2)

Solving
1 + 1X + 1x + xX = 12 + -7x + x2

Solving for variable 'X'.

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

Add '-1' to each side of the equation.
1 + 1X + 1x + -1 + xX = 12 + -7x + -1 + x2

Reorder the terms:
1 + -1 + 1X + 1x + xX = 12 + -7x + -1 + x2

Combine like terms: 1 + -1 = 0
0 + 1X + 1x + xX = 12 + -7x + -1 + x2
1X + 1x + xX = 12 + -7x + -1 + x2

Reorder the terms:
1X + 1x + xX = 12 + -1 + -7x + x2

Combine like terms: 12 + -1 = 11
1X + 1x + xX = 11 + -7x + x2

Add '-1x' to each side of the equation.
1X + 1x + -1x + xX = 11 + -7x + -1x + x2

Combine like terms: 1x + -1x = 0
1X + 0 + xX = 11 + -7x + -1x + x2
1X + xX = 11 + -7x + -1x + x2

Combine like terms: -7x + -1x = -8x
1X + xX = 11 + -8x + x2

Reorder the terms:
-11 + 1X + 8x + xX + -1x2 = 11 + -8x + x2 + -11 + 8x + -1x2

Reorder the terms:
-11 + 1X + 8x + xX + -1x2 = 11 + -11 + -8x + 8x + x2 + -1x2

Combine like terms: 11 + -11 = 0
-11 + 1X + 8x + xX + -1x2 = 0 + -8x + 8x + x2 + -1x2
-11 + 1X + 8x + xX + -1x2 = -8x + 8x + x2 + -1x2

Combine like terms: -8x + 8x = 0
-11 + 1X + 8x + xX + -1x2 = 0 + x2 + -1x2
-11 + 1X + 8x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-11 + 1X + 8x + xX + -1x2 = 0

The solution to this equation could not be determined.

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