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

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


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

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

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

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

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

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

Combine like terms: -3x + -1x = -4x
xF = (3 + -4x + x2)(2 + x)

Multiply (3 + -4x + x2) * (2 + x)
xF = (3(2 + x) + -4x * (2 + x) + x2(2 + x))
xF = ((2 * 3 + x * 3) + -4x * (2 + x) + x2(2 + x))
xF = ((6 + 3x) + -4x * (2 + x) + x2(2 + x))
xF = (6 + 3x + (2 * -4x + x * -4x) + x2(2 + x))
xF = (6 + 3x + (-8x + -4x2) + x2(2 + x))
xF = (6 + 3x + -8x + -4x2 + (2 * x2 + x * x2))
xF = (6 + 3x + -8x + -4x2 + (2x2 + x3))

Combine like terms: 3x + -8x = -5x
xF = (6 + -5x + -4x2 + 2x2 + x3)

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

Solving
xF = 6 + -5x + -2x2 + x3

Solving for variable 'x'.

Reorder the terms:
-6 + 5x + xF + 2x2 + -1x3 = 6 + -5x + -2x2 + x3 + -6 + 5x + 2x2 + -1x3

Reorder the terms:
-6 + 5x + xF + 2x2 + -1x3 = 6 + -6 + -5x + 5x + -2x2 + 2x2 + x3 + -1x3

Combine like terms: 6 + -6 = 0
-6 + 5x + xF + 2x2 + -1x3 = 0 + -5x + 5x + -2x2 + 2x2 + x3 + -1x3
-6 + 5x + xF + 2x2 + -1x3 = -5x + 5x + -2x2 + 2x2 + x3 + -1x3

Combine like terms: -5x + 5x = 0
-6 + 5x + xF + 2x2 + -1x3 = 0 + -2x2 + 2x2 + x3 + -1x3
-6 + 5x + xF + 2x2 + -1x3 = -2x2 + 2x2 + x3 + -1x3

Combine like terms: -2x2 + 2x2 = 0
-6 + 5x + xF + 2x2 + -1x3 = 0 + x3 + -1x3
-6 + 5x + xF + 2x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-6 + 5x + xF + 2x2 + -1x3 = 0

The solution to this equation could not be determined.

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