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If x!=0 and |[1,x,2x],[1,3x,5x],[1,3,4]|...

If `x!=0` and `|[1,x,2x],[1,3x,5x],[1,3,4]|=0`, then `x` =

Text Solution

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`|[1,x,2x],[1,3x,5x],[1,3,4]| = 0`
Applying `R_2->R_2-R_1`
`=>|[1,x,2x],[0,2x,3x],[1,3,4]| = 0`
`=>[1(8x-9x)-x(0-3x)+2x(0-2x)] =0`
`=>-x+3x^2-4x^2 = 0`
`=>-x(x+1) = 0`
`=> 0 and x = -1`
But, `x!=0`,
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