" 6."|[x-1,2x-3,1],[x-3,2x-1,2],[x-5,2x-5,3]|=0

If |[x^(3)+1,2x,1],[0,5+x,-3],[x-1,x^(2),2]|+|[3,2,1],[-1,5,-2],[0,4,6]|= ax^(5)+bx^(4)+cx^(3)+dx^(2)+ex+f is true for all x in R, then the value of f is

" If the trace of the matrix: "A=[[-1,0,2,5],[3,x^(2)-2,4,1],[-1,-2,x-3,1],[2,0,4,x^(2)-6]]" is "0" then "x" is equal to "

|[3+x,5,2] , [1,7+x,6], [2,5,3+x]|=0

Solve: |[x^2-1, x^2+2x+1, 2x^2+3x+1], [2x^2+x-1, 2x^2+5x-3, 2x^2+4x-3], [6x^2-x-2, 6x^2-7x+2, 12x^2-5x-2]|=0.

Solve: |[x^2-1, x^2+2x+1, 2x^2+3x+1], [2x^2+x-1, 2x^2+5x-3, 2x^2+4x-3], [6x^2-x-2, 6x^2-7x+2, 12x^2-5x-2]|=0.

Solve |(x-1,0,0),(2x,x+3,0),(5x-1,3x+1,x-2)|=0

Find the value of x, if |[(3+x), 5, 2],[1, (7+x), 6], [2, 5, (3+x)]| = 0

If |[2x, x+3], [2(x+1), x+1]| = |[1, 5], [3, 3]| , find the value of x.

If |[2x, x+3],[2(x+1),x+1]|= |[1,5],[3,3]| then find the value of x.