Given
[tex]-6+4\left|-6x+9\right|=-34[/tex]Solve for x
[tex]\begin{gathered} -6+4\lvert-6x+9\rvert+6=-34+6 \\ 4\lvert-6x+9\rvert=-28 \end{gathered}[/tex]Divide by 4 to both sides
[tex]\begin{gathered} \frac{4|-6x+9|}{4}=\frac{-28}{4} \\ |-6x+9|=-7 \end{gathered}[/tex]The absolute value cannot be less than zero. Therefore, the equation has no solution.
Answer:
no solution for x ∈ R
