Solve the equation using property of determinant

(Solve the equation using property of determinant)

5. Solve the equation

, a ≠ 0

Apply R1->R1+R2+R3  we get

Take 3x+a common from first row we get

Apply C2->C2-C1 and C3->C3-C1 we get

Open the expansion using first row we get

ð        3x+a= 0

3x = - a

x = - a/3

Answer x = -a/3