Question
Simplify the expression
−n−72n2
Evaluate
5n−6n−8n×9n
Multiply
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Multiply the terms
−8n×9n
Multiply the terms
−72n×n
Multiply the terms
−72n2
5n−6n−72n2
Solution
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Evaluate
5n−6n
Collect like terms by calculating the sum or difference of their coefficients
(5−6)n
Subtract the numbers
−n
−n−72n2
Show Solution

Factor the expression
−n(1+72n)
Evaluate
5n−6n−8n×9n
Multiply
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Multiply the terms
8n×9n
Multiply the terms
72n×n
Multiply the terms
72n2
5n−6n−72n2
Subtract the terms
More Steps

Simplify
5n−6n
Collect like terms by calculating the sum or difference of their coefficients
(5−6)n
Subtract the numbers
−n
−n−72n2
Rewrite the expression
−n−n×72n
Solution
−n(1+72n)
Show Solution

Find the roots
n1=−721,n2=0
Alternative Form
n1=−0.0138˙,n2=0
Evaluate
5n−6n−8n×9n
To find the roots of the expression,set the expression equal to 0
5n−6n−8n×9n=0
Multiply
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Multiply the terms
8n×9n
Multiply the terms
72n×n
Multiply the terms
72n2
5n−6n−72n2=0
Subtract the terms
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Simplify
5n−6n
Collect like terms by calculating the sum or difference of their coefficients
(5−6)n
Subtract the numbers
−n
−n−72n2=0
Factor the expression
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Evaluate
−n−72n2
Rewrite the expression
−n−n×72n
Factor out −n from the expression
−n(1+72n)
−n(1+72n)=0
When the product of factors equals 0,at least one factor is 0
−n=01+72n=0
Solve the equation for n
n=01+72n=0
Solve the equation for n
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Evaluate
1+72n=0
Move the constant to the right-hand side and change its sign
72n=0−1
Removing 0 doesn't change the value,so remove it from the expression
72n=−1
Divide both sides
7272n=72−1
Divide the numbers
n=72−1
Use b−a=−ba=−ba to rewrite the fraction
n=−721
n=0n=−721
Solution
n1=−721,n2=0
Alternative Form
n1=−0.0138˙,n2=0
Show Solution
