F(x)=(x-1)(3x-1)(x+4)

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Solution for F(x)=(x-1)(3x-1)(x+4) equation: 


Simplifying
F(x) = (x + -1)(3x + -1)(x + 4)

Multiply F * x
xF = (x + -1)(3x + -1)(x + 4)

Reorder the terms:
xF = (-1 + x)(3x + -1)(x + 4)

Reorder the terms:
xF = (-1 + x)(-1 + 3x)(x + 4)

Reorder the terms:
xF = (-1 + x)(-1 + 3x)(4 + x)

Multiply (-1 + x) * (-1 + 3x)
xF = (-1(-1 + 3x) + x(-1 + 3x))(4 + x)
xF = ((-1 * -1 + 3x * -1) + x(-1 + 3x))(4 + x)
xF = ((1 + -3x) + x(-1 + 3x))(4 + x)
xF = (1 + -3x + (-1 * x + 3x * x))(4 + x)
xF = (1 + -3x + (-1x + 3x2))(4 + x)

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

Multiply (1 + -4x + 3x2) * (4 + x)
xF = (1(4 + x) + -4x * (4 + x) + 3x2 * (4 + x))
xF = ((4 * 1 + x * 1) + -4x * (4 + x) + 3x2 * (4 + x))
xF = ((4 + 1x) + -4x * (4 + x) + 3x2 * (4 + x))
xF = (4 + 1x + (4 * -4x + x * -4x) + 3x2 * (4 + x))
xF = (4 + 1x + (-16x + -4x2) + 3x2 * (4 + x))
xF = (4 + 1x + -16x + -4x2 + (4 * 3x2 + x * 3x2))
xF = (4 + 1x + -16x + -4x2 + (12x2 + 3x3))

Combine like terms: 1x + -16x = -15x
xF = (4 + -15x + -4x2 + 12x2 + 3x3)

Combine like terms: -4x2 + 12x2 = 8x2
xF = (4 + -15x + 8x2 + 3x3)

Solving
xF = 4 + -15x + 8x2 + 3x3

Solving for variable 'x'.

Reorder the terms:
-4 + 15x + xF + -8x2 + -3x3 = 4 + -15x + 8x2 + 3x3 + -4 + 15x + -8x2 + -3x3

Reorder the terms:
-4 + 15x + xF + -8x2 + -3x3 = 4 + -4 + -15x + 15x + 8x2 + -8x2 + 3x3 + -3x3

Combine like terms: 4 + -4 = 0
-4 + 15x + xF + -8x2 + -3x3 = 0 + -15x + 15x + 8x2 + -8x2 + 3x3 + -3x3
-4 + 15x + xF + -8x2 + -3x3 = -15x + 15x + 8x2 + -8x2 + 3x3 + -3x3

Combine like terms: -15x + 15x = 0
-4 + 15x + xF + -8x2 + -3x3 = 0 + 8x2 + -8x2 + 3x3 + -3x3
-4 + 15x + xF + -8x2 + -3x3 = 8x2 + -8x2 + 3x3 + -3x3

Combine like terms: 8x2 + -8x2 = 0
-4 + 15x + xF + -8x2 + -3x3 = 0 + 3x3 + -3x3
-4 + 15x + xF + -8x2 + -3x3 = 3x3 + -3x3

Combine like terms: 3x3 + -3x3 = 0
-4 + 15x + xF + -8x2 + -3x3 = 0

The solution to this equation could not be determined.

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