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\left(3x+4\right)\left(2x-3\right)+\frac{2x\left(-3x-4\right)\left(2x-3\right)}{2x}
Factor the expressions that are not already factored in \frac{-12x^{3}+2x^{2}+24x}{2x}.
\left(3x+4\right)\left(2x-3\right)+\left(-3x-4\right)\left(2x-3\right)
Cancel out 2x in both numerator and denominator.
\left(3x+4\right)\left(2x-3\right)-6x^{2}+x+12
Expand the expression.
6x^{2}-x-12-6x^{2}+x+12
Use the distributive property to multiply 3x+4 by 2x-3 and combine like terms.
-x-12+x+12
Combine 6x^{2} and -6x^{2} to get 0.
-12+12
Combine -x and x to get 0.
0
Add -12 and 12 to get 0.