Y=(X^2-2X+5)(X^2-X+2)

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Solution for Y=(X^2-2X+5)(X^2-X+2) equation:


Simplifying
Y = (X2 + -2X + 5)(X2 + -1X + 2)

Reorder the terms:
Y = (5 + -2X + X2)(X2 + -1X + 2)

Reorder the terms:
Y = (5 + -2X + X2)(2 + -1X + X2)

Multiply (5 + -2X + X2) * (2 + -1X + X2)
Y = (5(2 + -1X + X2) + -2X * (2 + -1X + X2) + X2(2 + -1X + X2))
Y = ((2 * 5 + -1X * 5 + X2 * 5) + -2X * (2 + -1X + X2) + X2(2 + -1X + X2))
Y = ((10 + -5X + 5X2) + -2X * (2 + -1X + X2) + X2(2 + -1X + X2))
Y = (10 + -5X + 5X2 + (2 * -2X + -1X * -2X + X2 * -2X) + X2(2 + -1X + X2))
Y = (10 + -5X + 5X2 + (-4X + 2X2 + -2X3) + X2(2 + -1X + X2))
Y = (10 + -5X + 5X2 + -4X + 2X2 + -2X3 + (2 * X2 + -1X * X2 + X2 * X2))
Y = (10 + -5X + 5X2 + -4X + 2X2 + -2X3 + (2X2 + -1X3 + X4))

Reorder the terms:
Y = (10 + -5X + -4X + 5X2 + 2X2 + 2X2 + -2X3 + -1X3 + X4)

Combine like terms: -5X + -4X = -9X
Y = (10 + -9X + 5X2 + 2X2 + 2X2 + -2X3 + -1X3 + X4)

Combine like terms: 5X2 + 2X2 = 7X2
Y = (10 + -9X + 7X2 + 2X2 + -2X3 + -1X3 + X4)

Combine like terms: 7X2 + 2X2 = 9X2
Y = (10 + -9X + 9X2 + -2X3 + -1X3 + X4)

Combine like terms: -2X3 + -1X3 = -3X3
Y = (10 + -9X + 9X2 + -3X3 + X4)

Solving
Y = 10 + -9X + 9X2 + -3X3 + X4

Solving for variable 'Y'.

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

Simplifying
Y = 10 + -9X + 9X2 + -3X3 + X4

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