If 3x + 1x = 6, then find 9x2 + 12x .(a) 24 (b) 27(c) 30 (d) 33

To solve the equation 3x + 1x = 6, we can combine the like terms on the left side of the equation.

3x + 1x simplifies to 4x.

So, the equation becomes 4x = 6.

To find the value of x, we divide both sides of the equation by 4.

4x/4 = 6/4.

This simplifies to x = 3/2 or x = 1.5.

Now, we can substitute the value of x into the expression 9x^2 + 12x to find the result.

For x = 1.5,

9(1.5)^2 + 12(1.5) = 9(2.25) + 12(1.5) = 20.25 + 18 = 38.25.

Therefore, the answer is not one of the options provided (a) 24, (b) 27, (c) 30, or (d) 33.