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|[x+1, 3, 5], [2, x+2, 5], [2, 3, x+4]|=...

`|[x+1, 3, 5], [2, x+2, 5], [2, 3, x+4]|=0`

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To solve the determinant equation \(|[x+1, 3, 5], [2, x+2, 5], [2, 3, x+4]|=0\), we will follow these steps: ### Step 1: Write the determinant We start with the determinant: \[ D = \begin{vmatrix} x + 1 & 3 & 5 \\ 2 & x + 2 & 5 \\ ...
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