Solve the equation: `|[a,a,x],[a,a,a],[b,x,b]|=0 `

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

If a+b+c=0, solve the equation: |[a-x, c, b],[c,b-x, a],[b, a, c-x]|=0

Solve the equation: x^(2)-x+2=0

det[[ Solve the equation a-x,c,bc,b-x,ab,a,c-x]]=0 where a+b+c!=0

Solve the equation -x^(2)+x-2=0

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

If a ne b ne c , then one value of x which satisfies the equation. [(0,x-a,x-b),(x+a,0,x-c),(x+b,x+c,0)] = 0 is given by :

If a,b,c, in R, find the number of real root of the equation |{:(x,c,-b),(-c,x,a),(b,-a,x):}| =0

Solve the equation a^(2)x^(2)-3abx+2b^(2)=0 by the method of completing the square.