Question
Factor the expression
(n−25)(3n+56)
Evaluate
3n2−19n−1400
Rewrite the expression
3n2+(56−75)n−1400
Calculate
3n2+56n−75n−1400
Rewrite the expression
n×3n+n×56−25×3n−25×56
Factor out n from the expression
n(3n+56)−25×3n−25×56
Factor out −25 from the expression
n(3n+56)−25(3n+56)
Solution
(n−25)(3n+56)
Show Solution

Find the roots
n1=−356,n2=25
Alternative Form
n1=−18.6˙,n2=25
Evaluate
3n2−19n−1400
To find the roots of the expression,set the expression equal to 0
3n2−19n−1400=0
Factor the expression
More Steps

Evaluate
3n2−19n−1400
Rewrite the expression
3n2+(56−75)n−1400
Calculate
3n2+56n−75n−1400
Rewrite the expression
n×3n+n×56−25×3n−25×56
Factor out n from the expression
n(3n+56)−25×3n−25×56
Factor out −25 from the expression
n(3n+56)−25(3n+56)
Factor out 3n+56 from the expression
(n−25)(3n+56)
(n−25)(3n+56)=0
When the product of factors equals 0,at least one factor is 0
n−25=03n+56=0
Solve the equation for n
More Steps

Evaluate
n−25=0
Move the constant to the right-hand side and change its sign
n=0+25
Removing 0 doesn't change the value,so remove it from the expression
n=25
n=253n+56=0
Solve the equation for n
More Steps

Evaluate
3n+56=0
Move the constant to the right-hand side and change its sign
3n=0−56
Removing 0 doesn't change the value,so remove it from the expression
3n=−56
Divide both sides
33n=3−56
Divide the numbers
n=3−56
Use b−a=−ba=−ba to rewrite the fraction
n=−356
n=25n=−356
Solution
n1=−356,n2=25
Alternative Form
n1=−18.6˙,n2=25
Show Solution
