Question
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Answer
Solution
-
Multiply both sides by
(assuming ): which simplifies to: -
Expand the right-hand side:
-
Add
to both sides to isolate the term with : -
Divide both sides by
to solve for :
Thus, the solution is
.
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Extra Insights
To solve the equation
, start by cross-multiplying to eliminate the fraction. This gives you
. Expanding the right side results in
. Next, add 8 to both sides, yielding
. Finally, divide both sides by 16 to isolate
, giving you
.
Double-checking solutions is key! After all the hard work of solving, it’s easy to skip the final confirmation step. Plugging
back into the original equation gives
, confirming your solution is correct. Always a good practice—math can be tricky, and mistakes can slip in easily!