QuestionSolve the formula for the variable .
Studdy Solution
STEP 1
What is this asking? We're given a formula relating , , and , and we need to rearrange it so is all by itself on one side of the equals sign. Watch out! It's easy to get lost in the algebra, so let's keep our steps organized and clear!
STEP 2
1. Isolate the term with .
2. Solve for .
STEP 3
We want to get by itself, and it's currently trapped in a fraction.
To free it, we'll multiply both sides of the equation by the denominator, .
This is valid as long as isn't zero, which we'll assume for now.
Remember, whatever we do to one side of the equation, we *must* do to the other to keep things balanced!
STEP 4
On the right side, the in the numerator and denominator divide to one, leaving us with:
STEP 5
Now, is being multiplied by .
To get all alone, we'll divide both sides by , assuming isn't zero.
STEP 6
On the right side, the in the numerator and denominator divide to one, leaving just .
Let's flip the equation around so is on the left, just because it looks nicer!
STEP 7
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