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

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


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

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

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

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

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

Multiply (4 + x) * (-2 + x)
(4(-2 + x) + x(-2 + x))(4 + x)(4 + x) = x
((-2 * 4 + x * 4) + x(-2 + x))(4 + x)(4 + x) = x
((-8 + 4x) + x(-2 + x))(4 + x)(4 + x) = x
(-8 + 4x + (-2 * x + x * x))(4 + x)(4 + x) = x
(-8 + 4x + (-2x + x2))(4 + x)(4 + x) = x

Combine like terms: 4x + -2x = 2x
(-8 + 2x + x2)(4 + x)(4 + x) = x

Multiply (-8 + 2x + x2) * (4 + x)
(-8(4 + x) + 2x * (4 + x) + x2(4 + x))(4 + x) = x
((4 * -8 + x * -8) + 2x * (4 + x) + x2(4 + x))(4 + x) = x
((-32 + -8x) + 2x * (4 + x) + x2(4 + x))(4 + x) = x
(-32 + -8x + (4 * 2x + x * 2x) + x2(4 + x))(4 + x) = x
(-32 + -8x + (8x + 2x2) + x2(4 + x))(4 + x) = x
(-32 + -8x + 8x + 2x2 + (4 * x2 + x * x2))(4 + x) = x
(-32 + -8x + 8x + 2x2 + (4x2 + x3))(4 + x) = x

Combine like terms: -8x + 8x = 0
(-32 + 0 + 2x2 + 4x2 + x3)(4 + x) = x
(-32 + 2x2 + 4x2 + x3)(4 + x) = x

Combine like terms: 2x2 + 4x2 = 6x2
(-32 + 6x2 + x3)(4 + x) = x

Multiply (-32 + 6x2 + x3) * (4 + x)
(-32(4 + x) + 6x2 * (4 + x) + x3(4 + x)) = x
((4 * -32 + x * -32) + 6x2 * (4 + x) + x3(4 + x)) = x
((-128 + -32x) + 6x2 * (4 + x) + x3(4 + x)) = x
(-128 + -32x + (4 * 6x2 + x * 6x2) + x3(4 + x)) = x
(-128 + -32x + (24x2 + 6x3) + x3(4 + x)) = x
(-128 + -32x + 24x2 + 6x3 + (4 * x3 + x * x3)) = x
(-128 + -32x + 24x2 + 6x3 + (4x3 + x4)) = x

Combine like terms: 6x3 + 4x3 = 10x3
(-128 + -32x + 24x2 + 10x3 + x4) = x

Solving
-128 + -32x + 24x2 + 10x3 + x4 = x

Solving for variable 'x'.

Reorder the terms:
-128 + -32x + -1x + 24x2 + 10x3 + x4 = x + -1x

Combine like terms: -32x + -1x = -33x
-128 + -33x + 24x2 + 10x3 + x4 = x + -1x

Combine like terms: x + -1x = 0
-128 + -33x + 24x2 + 10x3 + x4 = 0

The solution to this equation could not be determined.

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