Question
Factor the expression
Factor
(n−3)(7n+8)
Evaluate
7n2−13n−24
Rewrite the expression
7n2+(8−21)n−24
Calculate
7n2+8n−21n−24
Rewrite the expression
n×7n+n×8−3×7n−3×8
Factor out n from the expression
n(7n+8)−3×7n−3×8
Factor out −3 from the expression
n(7n+8)−3(7n+8)
Solution
(n−3)(7n+8)
Show Solution
Find the roots
Find the roots of the algebra expression
n1=−78,n2=3
Alternative Form
n1=−1.1˙42857˙,n2=3
Evaluate
7n2−13n−24
To find the roots of the expression,set the expression equal to 0
7n2−13n−24=0
Factor the expression
More Steps
Evaluate
7n2−13n−24
Rewrite the expression
7n2+(8−21)n−24
Calculate
7n2+8n−21n−24
Rewrite the expression
n×7n+n×8−3×7n−3×8
Factor out n from the expression
n(7n+8)−3×7n−3×8
Factor out −3 from the expression
n(7n+8)−3(7n+8)
Factor out 7n+8 from the expression
(n−3)(7n+8)
(n−3)(7n+8)=0
When the product of factors equals 0,at least one factor is 0
n−3=07n+8=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=37n+8=0
Solve the equation for n
More Steps
Evaluate
7n+8=0
Move the constant to the right-hand side and change its sign
7n=0−8
Removing 0 doesn't change the value,so remove it from the expression
7n=−8
Divide both sides
77n=7−8
Divide the numbers
n=7−8
Use b−a=−ba=−ba to rewrite the fraction
n=−78
n=3n=−78
Solution
n1=−78,n2=3
Alternative Form
n1=−1.1˙42857˙,n2=3
Show Solution