F(X)=(X-1)2+(X+1)2-2(X+2)(X-2)

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


Simplifying
F(X) = (X + -1) * 2 + (X + 1) * 2 + -2(X + 2)(X + -2)

Multiply F * X
FX = (X + -1) * 2 + (X + 1) * 2 + -2(X + 2)(X + -2)

Reorder the terms:
FX = (-1 + X) * 2 + (X + 1) * 2 + -2(X + 2)(X + -2)

Reorder the terms for easier multiplication:
FX = 2(-1 + X) + (X + 1) * 2 + -2(X + 2)(X + -2)
FX = (-1 * 2 + X * 2) + (X + 1) * 2 + -2(X + 2)(X + -2)
FX = (-2 + 2X) + (X + 1) * 2 + -2(X + 2)(X + -2)

Reorder the terms:
FX = -2 + 2X + (1 + X) * 2 + -2(X + 2)(X + -2)

Reorder the terms for easier multiplication:
FX = -2 + 2X + 2(1 + X) + -2(X + 2)(X + -2)
FX = -2 + 2X + (1 * 2 + X * 2) + -2(X + 2)(X + -2)
FX = -2 + 2X + (2 + 2X) + -2(X + 2)(X + -2)

Reorder the terms:
FX = -2 + 2X + 2 + 2X + -2(2 + X)(X + -2)

Reorder the terms:
FX = -2 + 2X + 2 + 2X + -2(2 + X)(-2 + X)

Multiply (2 + X) * (-2 + X)
FX = -2 + 2X + 2 + 2X + -2(2(-2 + X) + X(-2 + X))
FX = -2 + 2X + 2 + 2X + -2((-2 * 2 + X * 2) + X(-2 + X))
FX = -2 + 2X + 2 + 2X + -2((-4 + 2X) + X(-2 + X))
FX = -2 + 2X + 2 + 2X + -2(-4 + 2X + (-2 * X + X * X))
FX = -2 + 2X + 2 + 2X + -2(-4 + 2X + (-2X + X2))

Combine like terms: 2X + -2X = 0
FX = -2 + 2X + 2 + 2X + -2(-4 + 0 + X2)
FX = -2 + 2X + 2 + 2X + -2(-4 + X2)
FX = -2 + 2X + 2 + 2X + (-4 * -2 + X2 * -2)
FX = -2 + 2X + 2 + 2X + (8 + -2X2)

Reorder the terms:
FX = -2 + 2 + 8 + 2X + 2X + -2X2

Combine like terms: -2 + 2 = 0
FX = 0 + 8 + 2X + 2X + -2X2
FX = 8 + 2X + 2X + -2X2

Combine like terms: 2X + 2X = 4X
FX = 8 + 4X + -2X2

Solving
FX = 8 + 4X + -2X2

Solving for variable 'F'.

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

Divide each side by 'X'.
F = 8X-1 + 4 + -2X

Simplifying
F = 8X-1 + 4 + -2X

Reorder the terms:
F = 4 + 8X-1 + -2X

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