(X+1)(x+1)-3(x-1)(x-1)=6

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Solution for (X+1)(x+1)-3(x-1)(x-1)=6 equation: 


Simplifying
(X + 1)(x + 1) + -3(x + -1)(x + -1) = 6

Reorder the terms:
(1 + X)(x + 1) + -3(x + -1)(x + -1) = 6

Reorder the terms:
(1 + X)(1 + x) + -3(x + -1)(x + -1) = 6

Multiply (1 + X) * (1 + x)
(1(1 + x) + X(1 + x)) + -3(x + -1)(x + -1) = 6
((1 * 1 + x * 1) + X(1 + x)) + -3(x + -1)(x + -1) = 6
((1 + 1x) + X(1 + x)) + -3(x + -1)(x + -1) = 6
(1 + 1x + (1 * X + x * X)) + -3(x + -1)(x + -1) = 6
(1 + 1x + (1X + xX)) + -3(x + -1)(x + -1) = 6

Reorder the terms:
(1 + 1X + 1x + xX) + -3(x + -1)(x + -1) = 6
(1 + 1X + 1x + xX) + -3(x + -1)(x + -1) = 6

Reorder the terms:
1 + 1X + 1x + xX + -3(-1 + x)(x + -1) = 6

Reorder the terms:
1 + 1X + 1x + xX + -3(-1 + x)(-1 + x) = 6

Multiply (-1 + x) * (-1 + x)
1 + 1X + 1x + xX + -3(-1(-1 + x) + x(-1 + x)) = 6
1 + 1X + 1x + xX + -3((-1 * -1 + x * -1) + x(-1 + x)) = 6
1 + 1X + 1x + xX + -3((1 + -1x) + x(-1 + x)) = 6
1 + 1X + 1x + xX + -3(1 + -1x + (-1 * x + x * x)) = 6
1 + 1X + 1x + xX + -3(1 + -1x + (-1x + x2)) = 6

Combine like terms: -1x + -1x = -2x
1 + 1X + 1x + xX + -3(1 + -2x + x2) = 6
1 + 1X + 1x + xX + (1 * -3 + -2x * -3 + x2 * -3) = 6
1 + 1X + 1x + xX + (-3 + 6x + -3x2) = 6

Reorder the terms:
1 + -3 + 1X + 1x + 6x + xX + -3x2 = 6

Combine like terms: 1 + -3 = -2
-2 + 1X + 1x + 6x + xX + -3x2 = 6

Combine like terms: 1x + 6x = 7x
-2 + 1X + 7x + xX + -3x2 = 6

Solving
-2 + 1X + 7x + xX + -3x2 = 6

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 + 1X + 7x + xX + 2 + -3x2 = 6 + 2

Reorder the terms:
-2 + 2 + 1X + 7x + xX + -3x2 = 6 + 2

Combine like terms: -2 + 2 = 0
0 + 1X + 7x + xX + -3x2 = 6 + 2
1X + 7x + xX + -3x2 = 6 + 2

Combine like terms: 6 + 2 = 8
1X + 7x + xX + -3x2 = 8

Add '-7x' to each side of the equation.
1X + 7x + xX + -7x + -3x2 = 8 + -7x

Reorder the terms:
1X + 7x + -7x + xX + -3x2 = 8 + -7x

Combine like terms: 7x + -7x = 0
1X + 0 + xX + -3x2 = 8 + -7x
1X + xX + -3x2 = 8 + -7x

Add '3x2' to each side of the equation.
1X + xX + -3x2 + 3x2 = 8 + -7x + 3x2

Combine like terms: -3x2 + 3x2 = 0
1X + xX + 0 = 8 + -7x + 3x2
1X + xX = 8 + -7x + 3x2

Reorder the terms:
-8 + 1X + 7x + xX + -3x2 = 8 + -7x + 3x2 + -8 + 7x + -3x2

Reorder the terms:
-8 + 1X + 7x + xX + -3x2 = 8 + -8 + -7x + 7x + 3x2 + -3x2

Combine like terms: 8 + -8 = 0
-8 + 1X + 7x + xX + -3x2 = 0 + -7x + 7x + 3x2 + -3x2
-8 + 1X + 7x + xX + -3x2 = -7x + 7x + 3x2 + -3x2

Combine like terms: -7x + 7x = 0
-8 + 1X + 7x + xX + -3x2 = 0 + 3x2 + -3x2
-8 + 1X + 7x + xX + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-8 + 1X + 7x + xX + -3x2 = 0

The solution to this equation could not be determined.

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