f(x)=(3x-1)(x+9)(4x-1)

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Solution for f(x)=(3x-1)(x+9)(4x-1) equation: 


Simplifying
f(x) = (3x + -1)(x + 9)(4x + -1)

Multiply f * x
fx = (3x + -1)(x + 9)(4x + -1)

Reorder the terms:
fx = (-1 + 3x)(x + 9)(4x + -1)

Reorder the terms:
fx = (-1 + 3x)(9 + x)(4x + -1)

Reorder the terms:
fx = (-1 + 3x)(9 + x)(-1 + 4x)

Multiply (-1 + 3x) * (9 + x)
fx = (-1(9 + x) + 3x * (9 + x))(-1 + 4x)
fx = ((9 * -1 + x * -1) + 3x * (9 + x))(-1 + 4x)
fx = ((-9 + -1x) + 3x * (9 + x))(-1 + 4x)
fx = (-9 + -1x + (9 * 3x + x * 3x))(-1 + 4x)
fx = (-9 + -1x + (27x + 3x2))(-1 + 4x)

Combine like terms: -1x + 27x = 26x
fx = (-9 + 26x + 3x2)(-1 + 4x)

Multiply (-9 + 26x + 3x2) * (-1 + 4x)
fx = (-9(-1 + 4x) + 26x * (-1 + 4x) + 3x2 * (-1 + 4x))
fx = ((-1 * -9 + 4x * -9) + 26x * (-1 + 4x) + 3x2 * (-1 + 4x))
fx = ((9 + -36x) + 26x * (-1 + 4x) + 3x2 * (-1 + 4x))
fx = (9 + -36x + (-1 * 26x + 4x * 26x) + 3x2 * (-1 + 4x))
fx = (9 + -36x + (-26x + 104x2) + 3x2 * (-1 + 4x))
fx = (9 + -36x + -26x + 104x2 + (-1 * 3x2 + 4x * 3x2))
fx = (9 + -36x + -26x + 104x2 + (-3x2 + 12x3))

Combine like terms: -36x + -26x = -62x
fx = (9 + -62x + 104x2 + -3x2 + 12x3)

Combine like terms: 104x2 + -3x2 = 101x2
fx = (9 + -62x + 101x2 + 12x3)

Solving
fx = 9 + -62x + 101x2 + 12x3

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 9x-1 + -62 + 101x + 12x2

Simplifying
f = 9x-1 + -62 + 101x + 12x2

Reorder the terms:
f = -62 + 9x-1 + 101x + 12x2

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