Basic Math Examples

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

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

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of

$0.02$ .

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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.

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

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

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

$100$ .

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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.

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

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

Step 1.5

Move the negative in front of the fraction.

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

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

Step 2

Move all terms not containing

$z$ to the right side of the equation.

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Step 2.1

Subtract

$100$ from both sides of the equation.

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

Step 2.2

Subtract

$100$ from

$0.8$ .

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

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

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.

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Step 4.1

Simplify the left side.

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Step 4.1.1

Simplify

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

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Step 4.1.1.1

Cancel the common factor of

$50$ .

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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.

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

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

Step 4.1.1.2

Multiply.

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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

$1$ .

$z = - 50 \cdot - 99.2$

$z = - 50 \cdot - 99.2$

$z = - 50 \cdot - 99.2$

$z = - 50 \cdot - 99.2$

Step 4.2

Simplify the right side.

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Step 4.2.1

Multiply

$- 50$ by

$- 99.2$ .

$z = 4960$

$z = 4960$

$z = 4960$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$