(X+8)(x+1)-(x+4)(x-1)=12x

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Solution for (X+8)(x+1)-(x+4)(x-1)=12x equation:


Simplifying
(X + 8)(x + 1) + -1(x + 4)(x + -1) = 12x

Reorder the terms:
(8 + X)(x + 1) + -1(x + 4)(x + -1) = 12x

Reorder the terms:
(8 + X)(1 + x) + -1(x + 4)(x + -1) = 12x

Multiply (8 + X) * (1 + x)
(8(1 + x) + X(1 + x)) + -1(x + 4)(x + -1) = 12x
((1 * 8 + x * 8) + X(1 + x)) + -1(x + 4)(x + -1) = 12x
((8 + 8x) + X(1 + x)) + -1(x + 4)(x + -1) = 12x
(8 + 8x + (1 * X + x * X)) + -1(x + 4)(x + -1) = 12x
(8 + 8x + (1X + xX)) + -1(x + 4)(x + -1) = 12x

Reorder the terms:
(8 + 1X + 8x + xX) + -1(x + 4)(x + -1) = 12x
(8 + 1X + 8x + xX) + -1(x + 4)(x + -1) = 12x

Reorder the terms:
8 + 1X + 8x + xX + -1(4 + x)(x + -1) = 12x

Reorder the terms:
8 + 1X + 8x + xX + -1(4 + x)(-1 + x) = 12x

Multiply (4 + x) * (-1 + x)
8 + 1X + 8x + xX + -1(4(-1 + x) + x(-1 + x)) = 12x
8 + 1X + 8x + xX + -1((-1 * 4 + x * 4) + x(-1 + x)) = 12x
8 + 1X + 8x + xX + -1((-4 + 4x) + x(-1 + x)) = 12x
8 + 1X + 8x + xX + -1(-4 + 4x + (-1 * x + x * x)) = 12x
8 + 1X + 8x + xX + -1(-4 + 4x + (-1x + x2)) = 12x

Combine like terms: 4x + -1x = 3x
8 + 1X + 8x + xX + -1(-4 + 3x + x2) = 12x
8 + 1X + 8x + xX + (-4 * -1 + 3x * -1 + x2 * -1) = 12x
8 + 1X + 8x + xX + (4 + -3x + -1x2) = 12x

Reorder the terms:
8 + 4 + 1X + 8x + -3x + xX + -1x2 = 12x

Combine like terms: 8 + 4 = 12
12 + 1X + 8x + -3x + xX + -1x2 = 12x

Combine like terms: 8x + -3x = 5x
12 + 1X + 5x + xX + -1x2 = 12x

Solving
12 + 1X + 5x + xX + -1x2 = 12x

Solving for variable 'X'.

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

Add '-12' to each side of the equation.
12 + 1X + 5x + xX + -12 + -1x2 = -12 + 12x

Reorder the terms:
12 + -12 + 1X + 5x + xX + -1x2 = -12 + 12x

Combine like terms: 12 + -12 = 0
0 + 1X + 5x + xX + -1x2 = -12 + 12x
1X + 5x + xX + -1x2 = -12 + 12x

Add '-5x' to each side of the equation.
1X + 5x + xX + -5x + -1x2 = -12 + 12x + -5x

Reorder the terms:
1X + 5x + -5x + xX + -1x2 = -12 + 12x + -5x

Combine like terms: 5x + -5x = 0
1X + 0 + xX + -1x2 = -12 + 12x + -5x
1X + xX + -1x2 = -12 + 12x + -5x

Combine like terms: 12x + -5x = 7x
1X + xX + -1x2 = -12 + 7x

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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