Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
n∈∅
Alternative Form
No solution
Evaluate
(n−1)!(n×1)!−n!=7n
Find the domain
More Steps
Evaluate
⎩⎨⎧(n−1)!=0n∈Nn−1∈N
Calculate
More Steps
Evaluate
(n−1)!=0
Rewrite the expression
1=0
The statement is true for any value of n
n∈R
⎩⎨⎧n∈Rn∈Nn−1∈N
Find the intersection
{n∈Nn−1∈N
Calculate
n∈N,n−1∈N
(n−1)!(n×1)!−n!=7n,n∈N,n−1∈N
Simplify
More Steps
Evaluate
(n−1)!(n×1)!−n!
Any expression multiplied by 1 remains the same
(n−1)!n!−n!
Subtract the terms
(n−1)!0
Divide the terms
0
0=7n
Swap the sides of the equation
7n=0
Rewrite the expression
n=0
Check if the solution is in the defined range
n=0,n∈N,n−1∈N
Solution
n∈∅
Alternative Form
No solution
Show Solution
