Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(n−8)(n+3)
Evaluate
n2−5n−24
Rewrite the expression
n2+(3−8)n−24
Calculate
n2+3n−8n−24
Rewrite the expression
n×n+n×3−8n−8×3
Factor out n from the expression
n(n+3)−8n−8×3
Factor out −8 from the expression
n(n+3)−8(n+3)
Solution
(n−8)(n+3)
Show Solution
Find the roots
n1=−3,n2=8
Evaluate
n2−5n−24
To find the roots of the expression,set the expression equal to 0
n2−5n−24=0
Factor the expression
More Steps
Evaluate
n2−5n−24
Rewrite the expression
n2+(3−8)n−24
Calculate
n2+3n−8n−24
Rewrite the expression
n×n+n×3−8n−8×3
Factor out n from the expression
n(n+3)−8n−8×3
Factor out −8 from the expression
n(n+3)−8(n+3)
Factor out n+3 from the expression
(n−8)(n+3)
(n−8)(n+3)=0
When the product of factors equals 0,at least one factor is 0
n−8=0n+3=0
Solve the equation for n
More Steps
Evaluate
n−8=0
Move the constant to the right-hand side and change its sign
n=0+8
Removing 0 doesn't change the value,so remove it from the expression
n=8
n=8n+3=0
Solve the equation for n
More Steps
Evaluate
n+3=0
Move the constant to the right-hand side and change its sign
n=0−3
Removing 0 doesn't change the value,so remove it from the expression
n=−3
n=8n=−3
Solution
n1=−3,n2=8
Show Solution