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Find non-zero values of x satisfying the...

Find non-zero values of x satisfying the matrix equation.
`x[{:(2x,2),(3,x):}]+2[{:(8,5x),(4,4x):}]= 2[{:((x^(2)+8),24),((10),6x):}]`

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Verified by Experts

Given that.
`x[{:(2x,2),(3,x):}]+ 2[{:(8,5x),(4,4x):}]=2[{:((x^(2)+8), 24),(10,6x):}]`
`rArr[{:(2x^(2),2x),(3x,x^(2)):}]+[{:(16,10x),(8,8x):}]=[{:(2x^(2)+16,48),(20,12):}]`
`rArr [{:(2x^(2)+1 6,2x+10x),(3x+6,x^(2)+8x):}]=[{:(2x^(2)+16,48),(20,12x):}]`
`rArr 2x+10x=48`
`rArr 12x=48`
`therefore x=(48)/(12)=4`
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