f(x)=(x-3)(3x+1)(x+1)

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


Simplifying
f(x) = (x + -3)(3x + 1)(x + 1)

Multiply f * x
fx = (x + -3)(3x + 1)(x + 1)

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

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

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

Multiply (-3 + x) * (1 + 3x)
fx = (-3(1 + 3x) + x(1 + 3x))(1 + x)
fx = ((1 * -3 + 3x * -3) + x(1 + 3x))(1 + x)
fx = ((-3 + -9x) + x(1 + 3x))(1 + x)
fx = (-3 + -9x + (1 * x + 3x * x))(1 + x)
fx = (-3 + -9x + (1x + 3x2))(1 + x)

Combine like terms: -9x + 1x = -8x
fx = (-3 + -8x + 3x2)(1 + x)

Multiply (-3 + -8x + 3x2) * (1 + x)
fx = (-3(1 + x) + -8x * (1 + x) + 3x2 * (1 + x))
fx = ((1 * -3 + x * -3) + -8x * (1 + x) + 3x2 * (1 + x))
fx = ((-3 + -3x) + -8x * (1 + x) + 3x2 * (1 + x))
fx = (-3 + -3x + (1 * -8x + x * -8x) + 3x2 * (1 + x))
fx = (-3 + -3x + (-8x + -8x2) + 3x2 * (1 + x))
fx = (-3 + -3x + -8x + -8x2 + (1 * 3x2 + x * 3x2))
fx = (-3 + -3x + -8x + -8x2 + (3x2 + 3x3))

Combine like terms: -3x + -8x = -11x
fx = (-3 + -11x + -8x2 + 3x2 + 3x3)

Combine like terms: -8x2 + 3x2 = -5x2
fx = (-3 + -11x + -5x2 + 3x3)

Solving
fx = -3 + -11x + -5x2 + 3x3

Solving for variable 'f'.

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

Divide each side by 'x'.
f = -3x-1 + -11 + -5x + 3x2

Simplifying
f = -3x-1 + -11 + -5x + 3x2

Reorder the terms:
f = -11 + -3x-1 + -5x + 3x2

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