Finite Math Examples

arg $(z - a) = \frac{5 p}{8}$

Step 1

Subtract $z$ from both sides of the equation.

$- a = \frac{5 p}{8} - z$

Step 2

Divide each term in $- a = \frac{5 p}{8} - z$ by $- 1$ and simplify.

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Step 2.1

Divide each term in $- a = \frac{5 p}{8} - z$ by $- 1$ .

$\frac{- a}{- 1} = \frac{\frac{5 p}{8}}{- 1} + \frac{- z}{- 1}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Dividing two negative values results in a positive value.

$\frac{a}{1} = \frac{\frac{5 p}{8}}{- 1} + \frac{- z}{- 1}$

Step 2.2.2

Divide $a$ by $1$ .

$a = \frac{\frac{5 p}{8}}{- 1} + \frac{- z}{- 1}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Simplify each term.

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Step 2.3.1.1

Move the negative one from the denominator of $\frac{\frac{5 p}{8}}{- 1}$ .

$a = - 1 \cdot \frac{5 p}{8} + \frac{- z}{- 1}$

Step 2.3.1.2

Rewrite $- 1 \cdot \frac{5 p}{8}$ as $- \frac{5 p}{8}$ .

$a = - \frac{5 p}{8} + \frac{- z}{- 1}$

Step 2.3.1.3

Dividing two negative values results in a positive value.

$a = - \frac{5 p}{8} + \frac{z}{1}$

Step 2.3.1.4

Divide $z$ by $1$ .

$a = - \frac{5 p}{8} + z$