Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(n−5)(n+1)
Evaluate
n2−4n−5
Rewrite the expression
n2+(1−5)n−5
Calculate
n2+n−5n−5
Rewrite the expression
n×n+n−5n−5
Factor out n from the expression
n(n+1)−5n−5
Factor out −5 from the expression
n(n+1)−5(n+1)
Solution
(n−5)(n+1)
Show Solution
Find the roots
n1=−1,n2=5
Evaluate
n2−4n−5
To find the roots of the expression,set the expression equal to 0
n2−4n−5=0
Factor the expression
More Steps
Evaluate
n2−4n−5
Rewrite the expression
n2+(1−5)n−5
Calculate
n2+n−5n−5
Rewrite the expression
n×n+n−5n−5
Factor out n from the expression
n(n+1)−5n−5
Factor out −5 from the expression
n(n+1)−5(n+1)
Factor out n+1 from the expression
(n−5)(n+1)
(n−5)(n+1)=0
When the product of factors equals 0,at least one factor is 0
n−5=0n+1=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=5n+1=0
Solve the equation for n
More Steps
Evaluate
n+1=0
Move the constant to the right-hand side and change its sign
n=0−1
Removing 0 doesn't change the value,so remove it from the expression
n=−1
n=5n=−1
Solution
n1=−1,n2=5
Show Solution