Re-arranging a formula to find Vm

[Sparkyian]

Can anyone explain to me how to re-arrange the following formula to find V(m).

V(L)=V(m)-(V(m)/2fCR).

Please explain step by step as I am really stuck.

Thank you.

 

[Proton Soup]

factor the right side

 

[oswaler]

To re-arrange a formula, we need to isolate the variable we are solving for on one side of the equation. In this case, we want to isolate V(m) on one side, so we can find its value.

Step 1: Start by distributing the negative sign in front of the parentheses on the right side of the equation. This will give us:

V(L) = V(m) - V(m)/(2fCR)

Step 2: Next, we can combine the two fractions on the right side by finding a common denominator. The common denominator in this case is 2fCR. This will give us:

V(L) = (2fCR*V(m) - V(m))/(2fCR)

Step 3: Now, we can factor out V(m) from the numerator on the right side of the equation. This will give us:

V(L) = V(m) * (2fCR - 1)/(2fCR)

Step 4: To isolate V(m), we need to divide both sides of the equation by the fraction (2fCR - 1). This will give us:

V(m) = V(L) / (2fCR - 1)

And there you have it! We have successfully re-arranged the formula to find V(m). Remember to always check your work by plugging in the value you found for V(m) back into the original equation to ensure it is correct.