Question
Simplify the expression
−5p2−21p
Evaluate
−5p2−10p−5p−6p
Solution
More Steps

Evaluate
−10p−5p−6p
Collect like terms by calculating the sum or difference of their coefficients
(−10−5−6)p
Subtract the numbers
−21p
−5p2−21p
Show Solution

Factor the expression
−p(5p+21)
Evaluate
−5p2−10p−5p−6p
Subtract the terms
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Simplify
−5p2−10p−5p
Subtract the terms
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Evaluate
−10p−5p
Collect like terms by calculating the sum or difference of their coefficients
(−10−5)p
Subtract the numbers
−15p
−5p2−15p
−5p2−15p−6p
Subtract the terms
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Evaluate
−15p−6p
Collect like terms by calculating the sum or difference of their coefficients
(−15−6)p
Subtract the numbers
−21p
−5p2−21p
Rewrite the expression
−p×5p−p×21
Solution
−p(5p+21)
Show Solution

Find the roots
p1=−521,p2=0
Alternative Form
p1=−4.2,p2=0
Evaluate
−5p2−10p−5p−6p
To find the roots of the expression,set the expression equal to 0
−5p2−10p−5p−6p=0
Subtract the terms
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Simplify
−5p2−10p−5p
Subtract the terms
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Evaluate
−10p−5p
Collect like terms by calculating the sum or difference of their coefficients
(−10−5)p
Subtract the numbers
−15p
−5p2−15p
−5p2−15p−6p=0
Subtract the terms
More Steps

Simplify
−5p2−15p−6p
Subtract the terms
More Steps

Evaluate
−15p−6p
Collect like terms by calculating the sum or difference of their coefficients
(−15−6)p
Subtract the numbers
−21p
−5p2−21p
−5p2−21p=0
Factor the expression
More Steps

Evaluate
−5p2−21p
Rewrite the expression
−p×5p−p×21
Factor out −p from the expression
−p(5p+21)
−p(5p+21)=0
When the product of factors equals 0,at least one factor is 0
−p=05p+21=0
Solve the equation for p
p=05p+21=0
Solve the equation for p
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Evaluate
5p+21=0
Move the constant to the right-hand side and change its sign
5p=0−21
Removing 0 doesn't change the value,so remove it from the expression
5p=−21
Divide both sides
55p=5−21
Divide the numbers
p=5−21
Use b−a=−ba=−ba to rewrite the fraction
p=−521
p=0p=−521
Solution
p1=−521,p2=0
Alternative Form
p1=−4.2,p2=0
Show Solution
