f(x)=(3x^4+x^2-3)*(2-3x)

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Solution for f(x)=(3x^4+x^2-3)*(2-3x) equation: 


Simplifying
f(x) = (3x4 + x2 + -3)(2 + -3x)

Multiply f * x
fx = (3x4 + x2 + -3)(2 + -3x)

Reorder the terms:
fx = (-3 + x2 + 3x4)(2 + -3x)

Multiply (-3 + x2 + 3x4) * (2 + -3x)
fx = (-3(2 + -3x) + x2(2 + -3x) + 3x4 * (2 + -3x))
fx = ((2 * -3 + -3x * -3) + x2(2 + -3x) + 3x4 * (2 + -3x))
fx = ((-6 + 9x) + x2(2 + -3x) + 3x4 * (2 + -3x))
fx = (-6 + 9x + (2 * x2 + -3x * x2) + 3x4 * (2 + -3x))
fx = (-6 + 9x + (2x2 + -3x3) + 3x4 * (2 + -3x))
fx = (-6 + 9x + 2x2 + -3x3 + (2 * 3x4 + -3x * 3x4))
fx = (-6 + 9x + 2x2 + -3x3 + (6x4 + -9x5))
fx = (-6 + 9x + 2x2 + -3x3 + 6x4 + -9x5)

Solving
fx = -6 + 9x + 2x2 + -3x3 + 6x4 + -9x5

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 + 9 + 2x + -3x2 + 6x3 + -9x4

Simplifying
f = -6x-1 + 9 + 2x + -3x2 + 6x3 + -9x4

Reorder the terms:
f = 9 + -6x-1 + 2x + -3x2 + 6x3 + -9x4

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