Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(n−6)(n+1)
Evaluate
n2−5n−6
Rewrite the expression
n2+(1−6)n−6
Calculate
n2+n−6n−6
Rewrite the expression
n×n+n−6n−6
Factor out n from the expression
n(n+1)−6n−6
Factor out −6 from the expression
n(n+1)−6(n+1)
Solution
(n−6)(n+1)
Show Solution
Find the roots
n1=−1,n2=6
Evaluate
n2−5n−6
To find the roots of the expression,set the expression equal to 0
n2−5n−6=0
Factor the expression
More Steps
Evaluate
n2−5n−6
Rewrite the expression
n2+(1−6)n−6
Calculate
n2+n−6n−6
Rewrite the expression
n×n+n−6n−6
Factor out n from the expression
n(n+1)−6n−6
Factor out −6 from the expression
n(n+1)−6(n+1)
Factor out n+1 from the expression
(n−6)(n+1)
(n−6)(n+1)=0
When the product of factors equals 0,at least one factor is 0
n−6=0n+1=0
Solve the equation for n
More Steps
Evaluate
n−6=0
Move the constant to the right-hand side and change its sign
n=0+6
Removing 0 doesn't change the value,so remove it from the expression
n=6
n=6n+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=6n=−1
Solution
n1=−1,n2=6
Show Solution