How do you solve #a/(2a+1)  (2a^2+5)/ (2a^25a3) =3/(a3)#?
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To solve the equation (a/(2a+1))  ((2a^2+5)/ (2a^25a3)) = 3/(a3), we can follow these steps:
 Simplify the expressions on both sides of the equation.
 Find a common denominator for the fractions.
 Combine the fractions on both sides of the equation.
 Solve for the variable, a.
Here are the steps in detail:

Simplify the expressions:
 The expression a/(2a+1) is already simplified.
 For the expression (2a^2+5)/ (2a^25a3), we cannot simplify it further.

Find a common denominator:
 The denominators in the two fractions are (2a+1) and (2a^25a3).
 The common denominator is (2a+1)(2a^25a3).

Combine the fractions:
 Multiply the first fraction, a/(2a+1), by (2a^25a3)/(2a^25a3).
 Multiply the second fraction, (2a^2+5)/ (2a^25a3), by (2a+1)/(2a+1).
 This will give us a common denominator for both fractions.

Solve for the variable, a:
 After combining the fractions, we will have a new equation.
 Solve this equation for the variable, a.
 The solution will be the value(s) of a that satisfy the equation.
Please note that without the specific equation, it is not possible to provide the exact solution.
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When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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