Y=(x^2-2x)(x^2-2x)-2(x^2-2x)

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Solution for Y=(x^2-2x)(x^2-2x)-2(x^2-2x) equation: 


Simplifying
Y = (x2 + -2x)(x2 + -2x) + -2(x2 + -2x)

Reorder the terms:
Y = (-2x + x2)(x2 + -2x) + -2(x2 + -2x)

Reorder the terms:
Y = (-2x + x2)(-2x + x2) + -2(x2 + -2x)

Multiply (-2x + x2) * (-2x + x2)
Y = (-2x * (-2x + x2) + x2(-2x + x2)) + -2(x2 + -2x)
Y = ((-2x * -2x + x2 * -2x) + x2(-2x + x2)) + -2(x2 + -2x)
Y = ((4x2 + -2x3) + x2(-2x + x2)) + -2(x2 + -2x)
Y = (4x2 + -2x3 + (-2x * x2 + x2 * x2)) + -2(x2 + -2x)
Y = (4x2 + -2x3 + (-2x3 + x4)) + -2(x2 + -2x)

Combine like terms: -2x3 + -2x3 = -4x3
Y = (4x2 + -4x3 + x4) + -2(x2 + -2x)

Reorder the terms:
Y = 4x2 + -4x3 + x4 + -2(-2x + x2)
Y = 4x2 + -4x3 + x4 + (-2x * -2 + x2 * -2)
Y = 4x2 + -4x3 + x4 + (4x + -2x2)

Reorder the terms:
Y = 4x + 4x2 + -2x2 + -4x3 + x4

Combine like terms: 4x2 + -2x2 = 2x2
Y = 4x + 2x2 + -4x3 + x4

Solving
Y = 4x + 2x2 + -4x3 + x4

Solving for variable 'Y'.

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

Simplifying
Y = 4x + 2x2 + -4x3 + x4

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