Question

R(r1+r2)=r1r2 solve for R

Answer 1

We need to solve for R, This is really simple.

The original expression is:
R (r1 + r2) = r1r2

To solve for a certain variable, we need to get this variable alone on one side of the equation and equate it with the other side.

In the given expression, to get R alone on one side we have to eliminate (r1 + r2).
In order to do this, we will divide both sides by (r1 + r2).
Doing this, we get the solution as follows:
R = (r1r2) / (r1 + r2)

Answer 2

R = (r₁r₂) / (r₁ + r₂)

Further explanation

$\boxed{ \ R(r_1 + r_2) = r_1r_2 \ }$

In the equation there are three variables, namely R, r₁, and r₂.

Our main plan is to isolate the variable R alone at the end of the process on one side of the equation until the variable will be equal to the value on the opposite side.

Let us solve R from the equation.

Both sides are divided by $\boxed{ \ r_1 + r_2 \ }$

Thus, the result is $\boxed{\boxed{ \ R = \frac{r_1r_2}{r_1 + r_2} \ }}$

That's all the steps to get R as a subject.

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What if we solve for r₂?

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$\boxed{ \ R(r_1 + r_2) = r_1r_2 \ }$

Or, we prepare as follows: $\boxed{ \ r_1r_2 = R(r_1 + r_2) \ }$

We use the distributive property of multiplication on the right side.

$\boxed{ \ r_1r_2 = Rr_1 + Rr_2 \ }$

Both sides are subtracted by $\boxed{ \ Rr_2 \ }$

$\boxed{ \ r_1r_2 - Rr_2 = Rr_1 \ }$

Again we use the distributive property of multiplication on the left side.

Pull r₂ out of the brackets.

$\boxed{ \ r_2(r_1 - R) = Rr_1 \ }$

Both sides are divided by $\boxed{ \ r_1 - R \ }$

Thus, the result is $\boxed{\boxed{ \ r_2 = \frac{Rr_1}{r_1 - R} \ }}$

That's all the steps to get r₂ as a subject.

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Keywords: solve for R, r₁, r₂, both sides, divide, multiply, subject, steps, he distributive property of multiplication