(X+4)(x-4)(x-2)=4

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Solution for (X+4)(x-4)(x-2)=4 equation: 


Simplifying
(X + 4)(x + -4)(x + -2) = 4

Reorder the terms:
(4 + X)(x + -4)(x + -2) = 4

Reorder the terms:
(4 + X)(-4 + x)(x + -2) = 4

Reorder the terms:
(4 + X)(-4 + x)(-2 + x) = 4

Multiply (4 + X) * (-4 + x)
(4(-4 + x) + X(-4 + x))(-2 + x) = 4
((-4 * 4 + x * 4) + X(-4 + x))(-2 + x) = 4
((-16 + 4x) + X(-4 + x))(-2 + x) = 4
(-16 + 4x + (-4 * X + x * X))(-2 + x) = 4
(-16 + 4x + (-4X + xX))(-2 + x) = 4

Reorder the terms:
(-16 + -4X + 4x + xX)(-2 + x) = 4
(-16 + -4X + 4x + xX)(-2 + x) = 4

Multiply (-16 + -4X + 4x + xX) * (-2 + x)
(-16(-2 + x) + -4X * (-2 + x) + 4x * (-2 + x) + xX(-2 + x)) = 4
((-2 * -16 + x * -16) + -4X * (-2 + x) + 4x * (-2 + x) + xX(-2 + x)) = 4
((32 + -16x) + -4X * (-2 + x) + 4x * (-2 + x) + xX(-2 + x)) = 4
(32 + -16x + (-2 * -4X + x * -4X) + 4x * (-2 + x) + xX(-2 + x)) = 4
(32 + -16x + (8X + -4xX) + 4x * (-2 + x) + xX(-2 + x)) = 4
(32 + -16x + 8X + -4xX + (-2 * 4x + x * 4x) + xX(-2 + x)) = 4
(32 + -16x + 8X + -4xX + (-8x + 4x2) + xX(-2 + x)) = 4
(32 + -16x + 8X + -4xX + -8x + 4x2 + (-2 * xX + x * xX)) = 4
(32 + -16x + 8X + -4xX + -8x + 4x2 + (-2xX + x2X)) = 4

Reorder the terms:
(32 + 8X + -16x + -8x + -4xX + -2xX + 4x2 + x2X) = 4

Combine like terms: -16x + -8x = -24x
(32 + 8X + -24x + -4xX + -2xX + 4x2 + x2X) = 4

Combine like terms: -4xX + -2xX = -6xX
(32 + 8X + -24x + -6xX + 4x2 + x2X) = 4

Solving
32 + 8X + -24x + -6xX + 4x2 + x2X = 4

Solving for variable 'X'.

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

Add '-32' to each side of the equation.
32 + 8X + -24x + -6xX + 4x2 + -32 + x2X = 4 + -32

Reorder the terms:
32 + -32 + 8X + -24x + -6xX + 4x2 + x2X = 4 + -32

Combine like terms: 32 + -32 = 0
0 + 8X + -24x + -6xX + 4x2 + x2X = 4 + -32
8X + -24x + -6xX + 4x2 + x2X = 4 + -32

Combine like terms: 4 + -32 = -28
8X + -24x + -6xX + 4x2 + x2X = -28

Add '24x' to each side of the equation.
8X + -24x + -6xX + 4x2 + 24x + x2X = -28 + 24x

Reorder the terms:
8X + -24x + 24x + -6xX + 4x2 + x2X = -28 + 24x

Combine like terms: -24x + 24x = 0
8X + 0 + -6xX + 4x2 + x2X = -28 + 24x
8X + -6xX + 4x2 + x2X = -28 + 24x

Add '-4x2' to each side of the equation.
8X + -6xX + 4x2 + -4x2 + x2X = -28 + 24x + -4x2

Combine like terms: 4x2 + -4x2 = 0
8X + -6xX + 0 + x2X = -28 + 24x + -4x2
8X + -6xX + x2X = -28 + 24x + -4x2

Reorder the terms:
28 + 8X + -24x + -6xX + 4x2 + x2X = -28 + 24x + -4x2 + 28 + -24x + 4x2

Reorder the terms:
28 + 8X + -24x + -6xX + 4x2 + x2X = -28 + 28 + 24x + -24x + -4x2 + 4x2

Combine like terms: -28 + 28 = 0
28 + 8X + -24x + -6xX + 4x2 + x2X = 0 + 24x + -24x + -4x2 + 4x2
28 + 8X + -24x + -6xX + 4x2 + x2X = 24x + -24x + -4x2 + 4x2

Combine like terms: 24x + -24x = 0
28 + 8X + -24x + -6xX + 4x2 + x2X = 0 + -4x2 + 4x2
28 + 8X + -24x + -6xX + 4x2 + x2X = -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
28 + 8X + -24x + -6xX + 4x2 + x2X = 0

The solution to this equation could not be determined.

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