(X+1)(x+1)-(x-1)(x-1)=32

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Solution for (X+1)(x+1)-(x-1)(x-1)=32 equation: 


Simplifying
(X + 1)(x + 1) + -1(x + -1)(x + -1) = 32

Reorder the terms:
(1 + X)(x + 1) + -1(x + -1)(x + -1) = 32

Reorder the terms:
(1 + X)(1 + x) + -1(x + -1)(x + -1) = 32

Multiply (1 + X) * (1 + x)
(1(1 + x) + X(1 + x)) + -1(x + -1)(x + -1) = 32
((1 * 1 + x * 1) + X(1 + x)) + -1(x + -1)(x + -1) = 32
((1 + 1x) + X(1 + x)) + -1(x + -1)(x + -1) = 32
(1 + 1x + (1 * X + x * X)) + -1(x + -1)(x + -1) = 32
(1 + 1x + (1X + xX)) + -1(x + -1)(x + -1) = 32

Reorder the terms:
(1 + 1X + 1x + xX) + -1(x + -1)(x + -1) = 32
(1 + 1X + 1x + xX) + -1(x + -1)(x + -1) = 32

Reorder the terms:
1 + 1X + 1x + xX + -1(-1 + x)(x + -1) = 32

Reorder the terms:
1 + 1X + 1x + xX + -1(-1 + x)(-1 + x) = 32

Multiply (-1 + x) * (-1 + x)
1 + 1X + 1x + xX + -1(-1(-1 + x) + x(-1 + x)) = 32
1 + 1X + 1x + xX + -1((-1 * -1 + x * -1) + x(-1 + x)) = 32
1 + 1X + 1x + xX + -1((1 + -1x) + x(-1 + x)) = 32
1 + 1X + 1x + xX + -1(1 + -1x + (-1 * x + x * x)) = 32
1 + 1X + 1x + xX + -1(1 + -1x + (-1x + x2)) = 32

Combine like terms: -1x + -1x = -2x
1 + 1X + 1x + xX + -1(1 + -2x + x2) = 32
1 + 1X + 1x + xX + (1 * -1 + -2x * -1 + x2 * -1) = 32
1 + 1X + 1x + xX + (-1 + 2x + -1x2) = 32

Reorder the terms:
1 + -1 + 1X + 1x + 2x + xX + -1x2 = 32

Combine like terms: 1 + -1 = 0
0 + 1X + 1x + 2x + xX + -1x2 = 32
1X + 1x + 2x + xX + -1x2 = 32

Combine like terms: 1x + 2x = 3x
1X + 3x + xX + -1x2 = 32

Solving
1X + 3x + xX + -1x2 = 32

Solving for variable 'X'.

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

Add '-3x' to each side of the equation.
1X + 3x + xX + -3x + -1x2 = 32 + -3x

Reorder the terms:
1X + 3x + -3x + xX + -1x2 = 32 + -3x

Combine like terms: 3x + -3x = 0
1X + 0 + xX + -1x2 = 32 + -3x
1X + xX + -1x2 = 32 + -3x

Add 'x2' to each side of the equation.
1X + xX + -1x2 + x2 = 32 + -3x + x2

Combine like terms: -1x2 + x2 = 0
1X + xX + 0 = 32 + -3x + x2
1X + xX = 32 + -3x + x2

Reorder the terms:
-32 + 1X + 3x + xX + -1x2 = 32 + -3x + x2 + -32 + 3x + -1x2

Reorder the terms:
-32 + 1X + 3x + xX + -1x2 = 32 + -32 + -3x + 3x + x2 + -1x2

Combine like terms: 32 + -32 = 0
-32 + 1X + 3x + xX + -1x2 = 0 + -3x + 3x + x2 + -1x2
-32 + 1X + 3x + xX + -1x2 = -3x + 3x + x2 + -1x2

Combine like terms: -3x + 3x = 0
-32 + 1X + 3x + xX + -1x2 = 0 + x2 + -1x2
-32 + 1X + 3x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-32 + 1X + 3x + xX + -1x2 = 0

The solution to this equation could not be determined.

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