Solve p-280 p-775

Question

Simplify the expression

- 279 p - 775

Evaluate

p - 280 p - 775

Solution

More Steps

Evaluate

p - 280 p

Collect like terms by calculating the sum or difference of their coefficients

(1 - 280) p

Subtract the numbers

- 279 p

- 279 p - 775

Show Solution

- 31 (9 p + 25)

Evaluate

p - 280 p - 775

Subtract the terms

More Steps

Evaluate

p - 280 p

Collect like terms by calculating the sum or difference of their coefficients

(1 - 280) p

Subtract the numbers

- 279 p

- 279 p - 775

Solution

- 31 (9 p + 25)

Show Solution

p = - \frac{25}{9}

Alternative Form

p = - 2. \dot{7}

Evaluate

p - 280 p - 775

To find the roots of the expression,set the expression equal to 0

p - 280 p - 775 = 0

Subtract the terms

More Steps

Simplify

p - 280 p

Collect like terms by calculating the sum or difference of their coefficients

(1 - 280) p

Subtract the numbers

- 279 p

- 279 p - 775 = 0

Move the constant to the right-hand side and change its sign

- 279 p = 0 + 775

Removing 0 doesn't change the value,so remove it from the expression

- 279 p = 775

Change the signs on both sides of the equation

279 p = - 775

Divide both sides

\frac{279 p}{279} = \frac{- 775}{279}

Divide the numbers

p = \frac{- 775}{279}

Solution

More Steps

Evaluate

\frac{- 775}{279}

Cancel out the common factor 31

\frac{- 25}{9}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

- \frac{25}{9}

p = - \frac{25}{9}

Alternative Form

p = - 2. \dot{7}

Show Solution