F(X)=(2x-1)(x+3)(x-2)

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Solution for F(X)=(2x-1)(x+3)(x-2) equation: 


Simplifying
F(X) = (2x + -1)(x + 3)(x + -2)

Multiply F * X
FX = (2x + -1)(x + 3)(x + -2)

Reorder the terms:
FX = (-1 + 2x)(x + 3)(x + -2)

Reorder the terms:
FX = (-1 + 2x)(3 + x)(x + -2)

Reorder the terms:
FX = (-1 + 2x)(3 + x)(-2 + x)

Multiply (-1 + 2x) * (3 + x)
FX = (-1(3 + x) + 2x * (3 + x))(-2 + x)
FX = ((3 * -1 + x * -1) + 2x * (3 + x))(-2 + x)
FX = ((-3 + -1x) + 2x * (3 + x))(-2 + x)
FX = (-3 + -1x + (3 * 2x + x * 2x))(-2 + x)
FX = (-3 + -1x + (6x + 2x2))(-2 + x)

Combine like terms: -1x + 6x = 5x
FX = (-3 + 5x + 2x2)(-2 + x)

Multiply (-3 + 5x + 2x2) * (-2 + x)
FX = (-3(-2 + x) + 5x * (-2 + x) + 2x2 * (-2 + x))
FX = ((-2 * -3 + x * -3) + 5x * (-2 + x) + 2x2 * (-2 + x))
FX = ((6 + -3x) + 5x * (-2 + x) + 2x2 * (-2 + x))
FX = (6 + -3x + (-2 * 5x + x * 5x) + 2x2 * (-2 + x))
FX = (6 + -3x + (-10x + 5x2) + 2x2 * (-2 + x))
FX = (6 + -3x + -10x + 5x2 + (-2 * 2x2 + x * 2x2))
FX = (6 + -3x + -10x + 5x2 + (-4x2 + 2x3))

Combine like terms: -3x + -10x = -13x
FX = (6 + -13x + 5x2 + -4x2 + 2x3)

Combine like terms: 5x2 + -4x2 = 1x2
FX = (6 + -13x + 1x2 + 2x3)

Solving
FX = 6 + -13x + 1x2 + 2x3

Solving for variable 'F'.

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

Divide each side by 'X'.
F = 6X-1 + -13xX-1 + x2X-1 + 2x3X-1

Simplifying
F = 6X-1 + -13xX-1 + x2X-1 + 2x3X-1

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