Question
Factor the expression
31n(18−n)
Evaluate
6n−31n2
Rewrite the expression
31n×18−31n×n
Solution
31n(18−n)
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Find the roots
n1=0,n2=18
Evaluate
6n−31n2
To find the roots of the expression,set the expression equal to 0
6n−31n2=0
Factor the expression
More Steps

Evaluate
6n−31n2
Rewrite the expression
31n×18−31n×n
Factor out 31n from the expression
31n(18−n)
31n(18−n)=0
When the product of factors equals 0,at least one factor is 0
31n=018−n=0
Solve the equation for n
n=018−n=0
Solve the equation for n
More Steps

Evaluate
18−n=0
Move the constant to the right-hand side and change its sign
−n=0−18
Removing 0 doesn't change the value,so remove it from the expression
−n=−18
Change the signs on both sides of the equation
n=18
n=0n=18
Solution
n1=0,n2=18
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