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

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


Simplifying
(x + -2)(x + -4)(x + 1) = 0

Reorder the terms:
(-2 + x)(x + -4)(x + 1) = 0

Reorder the terms:
(-2 + x)(-4 + x)(x + 1) = 0

Reorder the terms:
(-2 + x)(-4 + x)(1 + x) = 0

Multiply (-2 + x) * (-4 + x)
(-2(-4 + x) + x(-4 + x))(1 + x) = 0
((-4 * -2 + x * -2) + x(-4 + x))(1 + x) = 0
((8 + -2x) + x(-4 + x))(1 + x) = 0
(8 + -2x + (-4 * x + x * x))(1 + x) = 0
(8 + -2x + (-4x + x2))(1 + x) = 0

Combine like terms: -2x + -4x = -6x
(8 + -6x + x2)(1 + x) = 0

Multiply (8 + -6x + x2) * (1 + x)
(8(1 + x) + -6x * (1 + x) + x2(1 + x)) = 0
((1 * 8 + x * 8) + -6x * (1 + x) + x2(1 + x)) = 0
((8 + 8x) + -6x * (1 + x) + x2(1 + x)) = 0
(8 + 8x + (1 * -6x + x * -6x) + x2(1 + x)) = 0
(8 + 8x + (-6x + -6x2) + x2(1 + x)) = 0
(8 + 8x + -6x + -6x2 + (1 * x2 + x * x2)) = 0
(8 + 8x + -6x + -6x2 + (1x2 + x3)) = 0

Combine like terms: 8x + -6x = 2x
(8 + 2x + -6x2 + 1x2 + x3) = 0

Combine like terms: -6x2 + 1x2 = -5x2
(8 + 2x + -5x2 + x3) = 0

Solving
8 + 2x + -5x2 + x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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