Basic Math Examples

$100 - \frac{0.02}{100} z \cdot 100 = 0.8$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Cancel the common factor of $0.02$ .

Tap for more steps...

Step 1.1.1

Move the leading negative in $- \frac{0.02}{100}$ into the numerator.

$100 + \frac{- 0.02}{100} z \cdot 100 = 0.8$

Step 1.1.2

Factor $0.02$ out of $- 0.02$ .

$100 + \frac{0.02 (- 1)}{100} z \cdot 100 = 0.8$

Step 1.1.3

Cancel the common factor.

$100 + \frac{0.02 \cdot - 1}{100} z \cdot 100 = 0.8$

Step 1.1.4

Rewrite the expression.

$100 + \frac{- 1}{100} \cdot \frac{z}{50} \cdot 100 = 0.8$

Step 1.2

Multiply $\frac{- 1}{100}$ by $\frac{z}{50}$ .

$100 + \frac{- z}{100 \cdot 50} \cdot 100 = 0.8$

Step 1.3

Multiply $100$ by $50$ .

$100 + \frac{- z}{5000} \cdot 100 = 0.8$

Step 1.4

Cancel the common factor of $100$ .

Tap for more steps...

Step 1.4.1

Factor $100$ out of $5000$ .

$100 + \frac{- z}{100 (50)} \cdot 100 = 0.8$

Step 1.4.2

Cancel the common factor.

$100 + \frac{- z}{100 \cdot 50} \cdot 100 = 0.8$

Step 1.4.3

Rewrite the expression.

$100 + \frac{- z}{50} = 0.8$

Step 1.5

Move the negative in front of the fraction.

$100 - \frac{z}{50} = 0.8$

Step 2

Move all terms not containing $z$ to the right side of the equation.

Tap for more steps...

Step 2.1

Subtract $100$ from both sides of the equation.

$- \frac{z}{50} = 0.8 - 100$

Step 2.2

Subtract $100$ from $0.8$ .

$- \frac{z}{50} = - 99.2$

Step 3

Multiply both sides of the equation by $- 50$ .

$- 50 (- \frac{z}{50}) = - 50 \cdot - 99.2$

Step 4

Simplify both sides of the equation.

Tap for more steps...

Step 4.1

Simplify the left side.

Tap for more steps...

Step 4.1.1

Simplify $- 50 (- \frac{z}{50})$ .

Tap for more steps...

Step 4.1.1.1

Cancel the common factor of $50$ .

Tap for more steps...

Step 4.1.1.1.1

Move the leading negative in $- \frac{z}{50}$ into the numerator.

$- 50 \frac{- z}{50} = - 50 \cdot - 99.2$

Step 4.1.1.1.2

Factor $50$ out of $- 50$ .

$50 (- 1) \frac{- z}{50} = - 50 \cdot - 99.2$

Step 4.1.1.1.3

Cancel the common factor.

$50 \cdot - 1 \frac{- z}{50} = - 50 \cdot - 99.2$

Step 4.1.1.1.4

Rewrite the expression.

$- - z = - 50 \cdot - 99.2$

Step 4.1.1.2

Multiply.

Tap for more steps...

Step 4.1.1.2.1

Multiply $- 1$ by $- 1$ .

$1 z = - 50 \cdot - 99.2$

Step 4.1.1.2.2

Multiply $z$ by $1$ .

$z = - 50 \cdot - 99.2$

Step 4.2

Simplify the right side.

Tap for more steps...

Step 4.2.1

Multiply $- 50$ by $- 99.2$ .

$z = 4960$