# How to solve 3^2 + 9^2 / 3^2-6x/2 =8/9

Welcome to my article How to solve 3^2 + 9^2 / 3^2-6x/2 =8/9 . This question is taken from the simplification lesson.
The solution of this question has been explained in a very simple way by a well-known teacher by doing addition, subtraction, and fractions.
For complete information on how to solve this question How to solve 3^2 + 9^2 / 3^2-6x/2 =8/9, read and understand it carefully till the end.

Let us know how to solve this question How to solve 3^2 + 9^2 / 3^2-6x/2 =8/9.

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## How to solve 3^2 + 9^2 / 3^2-6x/2 =8/9

We will solve this question in the following way in a simple way by writing it like this,

\displaystyle {{3}^{2}}+\frac{{{{9}^{2}}}}{{{{3}^{2}}}}-\frac{{6x}}{2}=\frac{8}{9}

\displaystyle {{3}^{2}}+{{\left( {\frac{9}{2}} \right)}^{2}}-\frac{{6x}}{2}=\frac{8}{9}

\displaystyle {{3}^{2}}+\frac{{9\times 9}}{{2\times 2}}-\frac{{6x}}{2}=\frac{8}{9}

\displaystyle {{3}^{2}}+\frac{{81}}{4}-\frac{{6x}}{2}=\frac{8}{9}

\displaystyle 3\times 3+\frac{{81}}{4}-\frac{{6x}}{2}=\frac{8}{9}

\displaystyle 9+\frac{{81}}{4}-\frac{{6x}}{2}=\frac{8}{9}

\displaystyle \frac{{9\times 4+81-6x\times 2}}{4}=\frac{8}{9}

\displaystyle \frac{{117-12x}}{4}=\frac{8}{9}

\displaystyle 9\times (117-12x)=8\times 4

\displaystyle 1053-108x=32

\displaystyle -108x=32-1053

\displaystyle -108x=-1021

\displaystyle 108x=1021

\displaystyle x=\frac{{1021}}{{108}}