Sovle `x(x+2)^2(x-1)^5 (2x-3)(x-3)^4 ge 0 `

Explanation

To solve the inequality \( x(x+2)^2(x-1)^5(2x-3)(x-3)^4 \geq 0 \), we will follow these steps:

### Step 1: Identify the roots of the equation
We need to find the values of \( x \) for which the expression equals zero. The factors of the expression are:
- \( x = 0 \)
- \( (x+2)^2 = 0 \) gives \( x = -2 \)
- \( (x-1)^5 = 0 \) gives \( x = 1 \)
- \( (2x-3) = 0 \) gives \( x = \frac{3}{2} \)
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