Solve for S P=2SQ+2SR

$P = 2 S Q + 2 S R$

Step 1

Rewrite the equation as $2 S Q + 2 S R = P$ .

$2 S Q + 2 S R = P$

Step 2

Factor $2 S$ out of $2 S Q + 2 S R$ .

Factor $2 S$ out of $2 S Q$ .

$2 S (Q) + 2 S R = P$

Factor $2 S$ out of $2 S R$ .

$2 S (Q) + 2 S (R) = P$

Factor $2 S$ out of $2 S (Q) + 2 S (R)$ .

$2 S (Q + R) = P$

Step 3

Divide each term in $2 S (Q + R) = P$ by $2 (Q + R)$ and simplify.

Divide each term in $2 S (Q + R) = P$ by $2 (Q + R)$ .

$\frac{2 S (Q + R)}{2 (Q + R)} = \frac{P}{2 (Q + R)}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 S (Q + R)}{2 (Q + R)} = \frac{P}{2 (Q + R)}$

Rewrite the expression.

$\frac{S (Q + R)}{Q + R} = \frac{P}{2 (Q + R)}$

Cancel the common factor of $Q + R$ .

Cancel the common factor.

$\frac{S (Q + R)}{Q + R} = \frac{P}{2 (Q + R)}$

Divide $S$ by $1$ .

$S = \frac{P}{2 (Q + R)}$