Solve -5p^2-10p -5p -6p

Question

Simplify the expression

- 5 p^{2} - 21 p

Evaluate

- 5 p^{2} - 10 p - 5 p - 6 p

Solution

More Steps

Evaluate

- 10 p - 5 p - 6 p

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

(- 10 - 5 - 6) p

Subtract the numbers

- 21 p

- 5 p^{2} - 21 p

Show Solution

Factor the expression

- p (5 p + 21)

Evaluate

- 5 p^{2} - 10 p - 5 p - 6 p

Subtract the terms

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Simplify

- 5 p^{2} - 10 p - 5 p

Subtract the terms

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Evaluate

- 10 p - 5 p

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

(- 10 - 5) p

Subtract the numbers

- 15 p

- 5 p^{2} - 15 p

- 5 p^{2} - 15 p - 6 p

Subtract the terms

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Evaluate

- 15 p - 6 p

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

(- 15 - 6) p

Subtract the numbers

- 21 p

- 5 p^{2} - 21 p

Rewrite the expression

- p \times 5 p - p \times 21

Solution

- p (5 p + 21)

Show Solution

Find the roots

p_{1} = - \frac{21}{5}, p_{2} = 0

Alternative Form

p_{1} = - 4.2, p_{2} = 0

Evaluate

- 5 p^{2} - 10 p - 5 p - 6 p

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

- 5 p^{2} - 10 p - 5 p - 6 p = 0

Subtract the terms

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Simplify

- 5 p^{2} - 10 p - 5 p

Subtract the terms

More Steps

Evaluate

- 10 p - 5 p

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

(- 10 - 5) p

Subtract the numbers

- 15 p

- 5 p^{2} - 15 p

- 5 p^{2} - 15 p - 6 p = 0

Subtract the terms

More Steps

Simplify

- 5 p^{2} - 15 p - 6 p

Subtract the terms

More Steps

Evaluate

- 15 p - 6 p

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

(- 15 - 6) p

Subtract the numbers

- 21 p

- 5 p^{2} - 21 p

- 5 p^{2} - 21 p = 0

Factor the expression

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Evaluate

- 5 p^{2} - 21 p

Rewrite the expression

- p \times 5 p - p \times 21

Factor out - p from the expression

- p (5 p + 21)

- p (5 p + 21) = 0

When the product of factors equals 0,at least one factor is 0

- p = 0 5 p + 21 = 0

Solve the equation for p

p = 0 5 p + 21 = 0

Solve the equation for p

More Steps

Evaluate

5 p + 21 = 0

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

5 p = 0 - 21

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

5 p = - 21

Divide both sides

\frac{5 p}{5} = \frac{- 21}{5}

Divide the numbers

p = \frac{- 21}{5}

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

p = - \frac{21}{5}

p = 0 p = - \frac{21}{5}

Solution

p_{1} = - \frac{21}{5}, p_{2} = 0

Alternative Form

p_{1} = - 4.2, p_{2} = 0

Show Solution