Basic Math Examples

$Q = \frac{V - A}{R}$

Step 1

Rewrite the equation as $\frac{V - A}{R} = Q$ .

$\frac{V - A}{R} = Q$

Step 2

Multiply both sides by $R$ .

$\frac{V - A}{R} R = Q R$

Step 3

Simplify the left side.

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Step 3.1

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

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Step 3.1.1

Cancel the common factor of $R$ .

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Step 3.1.1.1

Cancel the common factor.

$\frac{V - A}{R} R = Q R$

Step 3.1.1.2

Rewrite the expression.

$V - A = Q R$

Step 3.1.2

Reorder $V$ and $- A$ .

$- A + V = Q R$

Step 4

Solve for $A$ .

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Step 4.1

Subtract $V$ from both sides of the equation.

$- A = Q R - V$

Step 4.2

Divide each term in $- A = Q R - V$ by $- 1$ and simplify.

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Step 4.2.1

Divide each term in $- A = Q R - V$ by $- 1$ .

$\frac{- A}{- 1} = \frac{Q R}{- 1} + \frac{- V}{- 1}$

Step 4.2.2

Simplify the left side.

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Step 4.2.2.1

Dividing two negative values results in a positive value.

$\frac{A}{1} = \frac{Q R}{- 1} + \frac{- V}{- 1}$

Step 4.2.2.2

Divide $A$ by $1$ .

$A = \frac{Q R}{- 1} + \frac{- V}{- 1}$

Step 4.2.3

Simplify the right side.

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Step 4.2.3.1

Simplify each term.

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Step 4.2.3.1.1

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

$A = - 1 \cdot (Q R) + \frac{- V}{- 1}$

Step 4.2.3.1.2

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

$A = - (Q R) + \frac{- V}{- 1}$

Step 4.2.3.1.3

Dividing two negative values results in a positive value.

$A = - Q R + \frac{V}{1}$

Step 4.2.3.1.4

Divide $V$ by $1$ .

$A = - Q R + V$