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

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


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

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

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

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

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

Combine like terms: -1x + 8x = 7x
X = (-4 + 7x + 2x2)(-2 + x)

Multiply (-4 + 7x + 2x2) * (-2 + x)
X = (-4(-2 + x) + 7x * (-2 + x) + 2x2 * (-2 + x))
X = ((-2 * -4 + x * -4) + 7x * (-2 + x) + 2x2 * (-2 + x))
X = ((8 + -4x) + 7x * (-2 + x) + 2x2 * (-2 + x))
X = (8 + -4x + (-2 * 7x + x * 7x) + 2x2 * (-2 + x))
X = (8 + -4x + (-14x + 7x2) + 2x2 * (-2 + x))
X = (8 + -4x + -14x + 7x2 + (-2 * 2x2 + x * 2x2))
X = (8 + -4x + -14x + 7x2 + (-4x2 + 2x3))

Combine like terms: -4x + -14x = -18x
X = (8 + -18x + 7x2 + -4x2 + 2x3)

Combine like terms: 7x2 + -4x2 = 3x2
X = (8 + -18x + 3x2 + 2x3)

Solving
X = 8 + -18x + 3x2 + 2x3

Solving for variable 'X'.

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

Simplifying
X = 8 + -18x + 3x2 + 2x3

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