(x+1)(x-4)(x^2-4x+8)=0

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Solution for (x+1)(x-4)(x^2-4x+8)=0 equation: 


Simplifying
(x + 1)(x + -4)(x2 + -4x + 8) = 0

Reorder the terms:
(1 + x)(x + -4)(x2 + -4x + 8) = 0

Reorder the terms:
(1 + x)(-4 + x)(x2 + -4x + 8) = 0

Reorder the terms:
(1 + x)(-4 + x)(8 + -4x + x2) = 0

Multiply (1 + x) * (-4 + x)
(1(-4 + x) + x(-4 + x))(8 + -4x + x2) = 0
((-4 * 1 + x * 1) + x(-4 + x))(8 + -4x + x2) = 0
((-4 + 1x) + x(-4 + x))(8 + -4x + x2) = 0
(-4 + 1x + (-4 * x + x * x))(8 + -4x + x2) = 0
(-4 + 1x + (-4x + x2))(8 + -4x + x2) = 0

Combine like terms: 1x + -4x = -3x
(-4 + -3x + x2)(8 + -4x + x2) = 0

Multiply (-4 + -3x + x2) * (8 + -4x + x2)
(-4(8 + -4x + x2) + -3x * (8 + -4x + x2) + x2(8 + -4x + x2)) = 0
((8 * -4 + -4x * -4 + x2 * -4) + -3x * (8 + -4x + x2) + x2(8 + -4x + x2)) = 0
((-32 + 16x + -4x2) + -3x * (8 + -4x + x2) + x2(8 + -4x + x2)) = 0
(-32 + 16x + -4x2 + (8 * -3x + -4x * -3x + x2 * -3x) + x2(8 + -4x + x2)) = 0
(-32 + 16x + -4x2 + (-24x + 12x2 + -3x3) + x2(8 + -4x + x2)) = 0
(-32 + 16x + -4x2 + -24x + 12x2 + -3x3 + (8 * x2 + -4x * x2 + x2 * x2)) = 0
(-32 + 16x + -4x2 + -24x + 12x2 + -3x3 + (8x2 + -4x3 + x4)) = 0

Reorder the terms:
(-32 + 16x + -24x + -4x2 + 12x2 + 8x2 + -3x3 + -4x3 + x4) = 0

Combine like terms: 16x + -24x = -8x
(-32 + -8x + -4x2 + 12x2 + 8x2 + -3x3 + -4x3 + x4) = 0

Combine like terms: -4x2 + 12x2 = 8x2
(-32 + -8x + 8x2 + 8x2 + -3x3 + -4x3 + x4) = 0

Combine like terms: 8x2 + 8x2 = 16x2
(-32 + -8x + 16x2 + -3x3 + -4x3 + x4) = 0

Combine like terms: -3x3 + -4x3 = -7x3
(-32 + -8x + 16x2 + -7x3 + x4) = 0

Solving
-32 + -8x + 16x2 + -7x3 + x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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