`|{:(x+a," "b," "c),(" "a,x+b," "c),(" "a," "b,x+c):}|=0`

|{:(a-x," "b," "c),(" "b,c-x," "a),(" "c," "a,b-x):}|=0

|[x+a, b, c], [a, x+b, c], [b, b, x+c]|=0

Use properties of determinants to solve for x: |{:(,x+a,b,c),(,c,x+b,a),(,a,b,x+c):}|=0 and x=0

Solve the equation |{:(x+a,c+b,x+c),(x+b,x+c,x+a),(x+c,x+a,x+b):}|=0

Solve the following determinant equation: |[x+a, b, c], [c, x+b, a], [a ,b, x+c]|=0

The equation |(x-a,x-b,x-c),(x-b,x-a,x-c),(x-c,x-b,x-a)|=0 (a,b,c are different) is satisfied by (A) x=(a+b+c0 (B) x= 1/3 (a+b+c) (C) x=0 (D) none of these

The equation |(x-a,x-b,x-c),(x-b,x-a,x-c),(x-c,x-b,x-a)|=0 (a,b,c are different) is satisfied by (A) x=(a+b+c0 (B) x= 1/3 (a+b+c) (C) x=0 (D) none of these

Solve [[x+a,b,c],[a,x+b,c],[a,b,x+c]]=0

If a+b+c=0 and |{:(a-x,c,b),(c,b-x,a),(b,a,c-x):}|=0 then find the value of x