1,5x(3+2x)

To simplify the expression \(1.5x(3 + 2x)\), we can distribute \(1.5x\) to both terms inside the parentheses:

\[ 1.5x(3) + 1.5x(2x) \]

Now we perform the multiplication:

\[ 1.5x \cdot 3 = 4.5x \]

\[ 1.5x \cdot 2x = 3.0x^2 \]

Combining these results, we get:

\[ 1.5x(3 + 2x) = 4.5x + 3.0x^2 \]

So, the simplified expression is:

\[ 3.0x^2 + 4.5x \]

You can write it as:

\[ 3x^2 + 4.5x \]

if you prefer, but both forms effectively convey the same result.