Y=(x-6)(x-4)(x+2)

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Solution for Y=(x-6)(x-4)(x+2) equation:


Simplifying
Y = (x + -6)(x + -4)(x + 2)

Reorder the terms:
Y = (-6 + x)(x + -4)(x + 2)

Reorder the terms:
Y = (-6 + x)(-4 + x)(x + 2)

Reorder the terms:
Y = (-6 + x)(-4 + x)(2 + x)

Multiply (-6 + x) * (-4 + x)
Y = (-6(-4 + x) + x(-4 + x))(2 + x)
Y = ((-4 * -6 + x * -6) + x(-4 + x))(2 + x)
Y = ((24 + -6x) + x(-4 + x))(2 + x)
Y = (24 + -6x + (-4 * x + x * x))(2 + x)
Y = (24 + -6x + (-4x + x2))(2 + x)

Combine like terms: -6x + -4x = -10x
Y = (24 + -10x + x2)(2 + x)

Multiply (24 + -10x + x2) * (2 + x)
Y = (24(2 + x) + -10x * (2 + x) + x2(2 + x))
Y = ((2 * 24 + x * 24) + -10x * (2 + x) + x2(2 + x))
Y = ((48 + 24x) + -10x * (2 + x) + x2(2 + x))
Y = (48 + 24x + (2 * -10x + x * -10x) + x2(2 + x))
Y = (48 + 24x + (-20x + -10x2) + x2(2 + x))
Y = (48 + 24x + -20x + -10x2 + (2 * x2 + x * x2))
Y = (48 + 24x + -20x + -10x2 + (2x2 + x3))

Combine like terms: 24x + -20x = 4x
Y = (48 + 4x + -10x2 + 2x2 + x3)

Combine like terms: -10x2 + 2x2 = -8x2
Y = (48 + 4x + -8x2 + x3)

Solving
Y = 48 + 4x + -8x2 + x3

Solving for variable 'Y'.

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

Simplifying
Y = 48 + 4x + -8x2 + x3

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