Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(n+4)(n+5)
Evaluate
n2+9n+20
Rewrite the expression
n2+(5+4)n+20
Calculate
n2+5n+4n+20
Rewrite the expression
n×n+n×5+4n+4×5
Factor out n from the expression
n(n+5)+4n+4×5
Factor out 4 from the expression
n(n+5)+4(n+5)
Solution
(n+4)(n+5)
Show Solution
Find the roots
n1=−5,n2=−4
Evaluate
n2+9n+20
To find the roots of the expression,set the expression equal to 0
n2+9n+20=0
Factor the expression
More Steps
Evaluate
n2+9n+20
Rewrite the expression
n2+(5+4)n+20
Calculate
n2+5n+4n+20
Rewrite the expression
n×n+n×5+4n+4×5
Factor out n from the expression
n(n+5)+4n+4×5
Factor out 4 from the expression
n(n+5)+4(n+5)
Factor out n+5 from the expression
(n+4)(n+5)
(n+4)(n+5)=0
When the product of factors equals 0,at least one factor is 0
n+4=0n+5=0
Solve the equation for n
More Steps
Evaluate
n+4=0
Move the constant to the right-hand side and change its sign
n=0−4
Removing 0 doesn't change the value,so remove it from the expression
n=−4
n=−4n+5=0
Solve the equation for n
More Steps
Evaluate
n+5=0
Move the constant to the right-hand side and change its sign
n=0−5
Removing 0 doesn't change the value,so remove it from the expression
n=−5
n=−4n=−5
Solution
n1=−5,n2=−4
Show Solution