(a+b/c)(d-e)=f Isolate A

Jasonbradley

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Jun 16, 2024

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Isolating 'a' in the Equation: (a + b/c)(d - e) = f

This article will guide you through the steps to isolate the variable 'a' in the equation (a + b/c)(d - e) = f. This process involves applying algebraic operations to manipulate the equation and bring 'a' to one side.

Steps to Isolate 'a'

1. Expand the equation: Begin by expanding the left-hand side of the equation using the distributive property:

   ad - ae + bd/c - be/c = f
   

2. Combine terms with 'a': Group the terms containing 'a' together:

   ad - ae = f - bd/c + be/c
   

3. Factor out 'a': Factor out 'a' from the left-hand side:

   a(d - e) = f - bd/c + be/c
   

4. Isolate 'a': Divide both sides of the equation by (d - e) to isolate 'a':

   a = (f - bd/c + be/c) / (d - e)
   

Final Solution

The isolated variable 'a' is:

a = (f - bd/c + be/c) / (d - e)

This equation expresses 'a' in terms of the other variables, allowing you to calculate its value if you know the values of the other variables.

Note:

• Remember that (d - e) cannot be equal to zero, as division by zero is undefined.
• This solution assumes that all variables are real numbers.