Solve for I P=(V-I)/R

$P = \frac{V - I}{R}$

Step 1

Rewrite the equation as $\frac{V - I}{R} = P$ .

$\frac{V - I}{R} = P$

Step 2

Multiply both sides by $R$ .

$\frac{V - I}{R} R = P R$

Step 3

Simplify the left side.

Simplify $\frac{V - I}{R} R$ .

Cancel the common factor of $R$ .

Cancel the common factor.

$\frac{V - I}{R} R = P R$

Rewrite the expression.

$V - I = P R$

Reorder $V$ and $- I$ .

$- I + V = P R$

Step 4

Solve for $I$ .

Subtract $V$ from both sides of the equation.

$- I = P R - V$

Divide each term in $- I = P R - V$ by $- 1$ and simplify.

Divide each term in $- I = P R - V$ by $- 1$ .

$\frac{- I}{- 1} = \frac{P R}{- 1} + \frac{- V}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{I}{1} = \frac{P R}{- 1} + \frac{- V}{- 1}$

Divide $I$ by $1$ .

$I = \frac{P R}{- 1} + \frac{- V}{- 1}$

Simplify the right side.

Simplify each term.

Move the negative one from the denominator of $\frac{P R}{- 1}$ .

$I = - 1 \cdot (P R) + \frac{- V}{- 1}$

Rewrite $- 1 \cdot (P R)$ as $- (P R)$ .

$I = - (P R) + \frac{- V}{- 1}$

Dividing two negative values results in a positive value.

$I = - P R + \frac{V}{1}$

Divide $V$ by $1$ .

$I = - P R + V$