Basic Math Examples

$Q = z - 0.5 p$

Step 1

Rewrite the equation as $z - 0.5 p = Q$ .

$z - 0.5 p = Q$

Step 2

Subtract $z$ from both sides of the equation.

$- 0.5 p = Q - z$

Step 3

Divide each term in $- 0.5 p = Q - z$ by $- 0.5$ and simplify.

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Step 3.1

Divide each term in $- 0.5 p = Q - z$ by $- 0.5$ .

$\frac{- 0.5 p}{- 0.5} = \frac{Q}{- 0.5} + \frac{- z}{- 0.5}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $- 0.5$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{- 0.5 p}{- 0.5} = \frac{Q}{- 0.5} + \frac{- z}{- 0.5}$

Step 3.2.1.2

Divide $p$ by $1$ .

$p = \frac{Q}{- 0.5} + \frac{- z}{- 0.5}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Simplify each term.

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Step 3.3.1.1

Move the negative in front of the fraction.

$p = - \frac{Q}{0.5} + \frac{- z}{- 0.5}$

Step 3.3.1.2

Multiply by $1$ .

$p = - \frac{1 Q}{0.5} + \frac{- z}{- 0.5}$

Step 3.3.1.3

Factor $0.5$ out of $0.5$ .

$p = - \frac{1 Q}{0.5 (1)} + \frac{- z}{- 0.5}$

Step 3.3.1.4

Separate fractions.

$p = - (\frac{1}{0.5} \cdot \frac{Q}{1}) + \frac{- z}{- 0.5}$

Step 3.3.1.5

Divide $1$ by $0.5$ .

$p = - (2 \frac{Q}{1}) + \frac{- z}{- 0.5}$

Step 3.3.1.6

Divide $Q$ by $1$ .

$p = - (2 Q) + \frac{- z}{- 0.5}$

Step 3.3.1.7

Multiply $2$ by $- 1$ .

$p = - 2 Q + \frac{- z}{- 0.5}$

Step 3.3.1.8

Dividing two negative values results in a positive value.

$p = - 2 Q + \frac{z}{0.5}$

Step 3.3.1.9

Multiply by $1$ .

$p = - 2 Q + \frac{1 z}{0.5}$

Step 3.3.1.10

Factor $0.5$ out of $0.5$ .

$p = - 2 Q + \frac{1 z}{0.5 (1)}$

Step 3.3.1.11

Separate fractions.

$p = - 2 Q + \frac{1}{0.5} \cdot \frac{z}{1}$

Step 3.3.1.12

Divide $1$ by $0.5$ .

$p = - 2 Q + 2 \frac{z}{1}$

Step 3.3.1.13

Divide $z$ by $1$ .

$p = - 2 Q + 2 z$