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

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


Simplifying
f(x) = x(x2 + -4) + -3x(x + -2)

Multiply f * x
fx = x(x2 + -4) + -3x(x + -2)

Reorder the terms:
fx = x(-4 + x2) + -3x(x + -2)
fx = (-4 * x + x2 * x) + -3x(x + -2)
fx = (-4x + x3) + -3x(x + -2)

Reorder the terms:
fx = -4x + x3 + -3x(-2 + x)
fx = -4x + x3 + (-2 * -3x + x * -3x)
fx = -4x + x3 + (6x + -3x2)

Reorder the terms:
fx = -4x + 6x + -3x2 + x3

Combine like terms: -4x + 6x = 2x
fx = 2x + -3x2 + x3

Solving
fx = 2x + -3x2 + x3

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 2 + -3x + x2

Simplifying
f = 2 + -3x + x2

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