f(x)=6xln(2x)-6x

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Solution for f(x)=6xln(2x)-6x equation: 


Simplifying
f(x) = 6xln(2x) + -6x

Multiply f * x
fx = 6xln(2x) + -6x

Remove parenthesis around (2x)
fx = 6lnx * 2x + -6x

Reorder the terms for easier multiplication:
fx = 6 * 2lnx * x + -6x

Multiply 6 * 2
fx = 12lnx * x + -6x

Multiply lnx * x
fx = 12lnx2 + -6x

Solving
fx = 12lnx2 + -6x

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 12lnx + -6

Simplifying
f = 12lnx + -6

Reorder the terms:
f = -6 + 12lnx

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