Basic Math Examples

\frac{p (- 50)}{- 50 p + 20000}

$\frac{p (- 50)}{- 50 p + 20000}$

Step 1

Cancel the common factor of

- 50

$- 50$ and

- 50 p + 20000

$- 50 p + 20000$ .

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Step 1.1

Factor

50

$50$ out of

p (- 50)

$p (- 50)$ .

\frac{50 (p \cdot (- 1))}{- 50 p + 20000}

$\frac{50 (p \cdot (- 1))}{- 50 p + 20000}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor

50

$50$ out of

- 50 p

$- 50 p$ .

\frac{50 (p \cdot (- 1))}{50 (- p) + 20000}

$\frac{50 (p \cdot (- 1))}{50 (- p) + 20000}$

Step 1.2.2

Factor

50

$50$ out of

20000

$20000$ .

\frac{50 (p \cdot (- 1))}{50 (- p) + 50 (400)}

$\frac{50 (p \cdot (- 1))}{50 (- p) + 50 (400)}$

Step 1.2.3

Factor

50

$50$ out of

50 (- p) + 50 (400)

$50 (- p) + 50 (400)$ .

\frac{50 (p \cdot (- 1))}{50 (- p + 400)}

$\frac{50 (p \cdot (- 1))}{50 (- p + 400)}$

Step 1.2.4

Cancel the common factor.

\frac{50 (p \cdot (- 1))}{50 (- p + 400)}

$\frac{50 (p \cdot (- 1))}{50 (- p + 400)}$

Step 1.2.5

Rewrite the expression.

\frac{p \cdot (- 1)}{- p + 400}

$\frac{p \cdot (- 1)}{- p + 400}$

\frac{p \cdot (- 1)}{- p + 400}

$\frac{p \cdot (- 1)}{- p + 400}$

\frac{p \cdot (- 1)}{- p + 400}

$\frac{p \cdot (- 1)}{- p + 400}$

Step 2

Simplify the expression.

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Step 2.1

Move

- 1

$- 1$ to the left of

p

$p$ .

\frac{- 1 \cdot p}{- p + 400}

$\frac{- 1 \cdot p}{- p + 400}$

Step 2.2

Move the negative in front of the fraction.

- \frac{p}{- p + 400}

$- \frac{p}{- p + 400}$

- \frac{p}{- p + 400}

$- \frac{p}{- p + 400}$

Step 3

Factor

- 1

$- 1$ out of

- p

$- p$ .

- \frac{p}{- (p) + 400}

$- \frac{p}{- (p) + 400}$

Step 4

Rewrite

400

$400$ as

- 1 (- 400)

$- 1 (- 400)$ .

- \frac{p}{- (p) - 1 (- 400)}

$- \frac{p}{- (p) - 1 (- 400)}$

Step 5

Factor

- 1

$- 1$ out of

- (p) - 1 (- 400)

$- (p) - 1 (- 400)$ .

- \frac{p}{- (p - 400)}

$- \frac{p}{- (p - 400)}$

Step 6

Simplify the expression.

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Step 6.1

Rewrite

- (p - 400)

$- (p - 400)$ as

- 1 (p - 400)

$- 1 (p - 400)$ .

- \frac{p}{- 1 (p - 400)}

$- \frac{p}{- 1 (p - 400)}$

Step 6.2

Move the negative in front of the fraction.

- - \frac{p}{p - 400}

$- - \frac{p}{p - 400}$

Step 6.3

Multiply

- 1

$- 1$ by

- 1

$- 1$ .

1 \frac{p}{p - 400}

$1 \frac{p}{p - 400}$

Step 6.4

Multiply

\frac{p}{p - 400}

$\frac{p}{p - 400}$ by

1

$1$ .

\frac{p}{p - 400}

$\frac{p}{p - 400}$

\frac{p}{p - 400}

$\frac{p}{p - 400}$

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

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