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

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


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

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

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

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

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

Combine like terms: -1x + 4x = 3x
(-4 + 3x + x2)(-2 + x) = 0

Multiply (-4 + 3x + x2) * (-2 + x)
(-4(-2 + x) + 3x * (-2 + x) + x2(-2 + x)) = 0
((-2 * -4 + x * -4) + 3x * (-2 + x) + x2(-2 + x)) = 0
((8 + -4x) + 3x * (-2 + x) + x2(-2 + x)) = 0
(8 + -4x + (-2 * 3x + x * 3x) + x2(-2 + x)) = 0
(8 + -4x + (-6x + 3x2) + x2(-2 + x)) = 0
(8 + -4x + -6x + 3x2 + (-2 * x2 + x * x2)) = 0
(8 + -4x + -6x + 3x2 + (-2x2 + x3)) = 0

Combine like terms: -4x + -6x = -10x
(8 + -10x + 3x2 + -2x2 + x3) = 0

Combine like terms: 3x2 + -2x2 = 1x2
(8 + -10x + 1x2 + x3) = 0

Solving
8 + -10x + 1x2 + x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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