Question

What are the solutions of 3(x – 4)(2x - 3) = 0? Check all that apply.

Answer 1

Answer:

The solution to the equation is:

$x=4,\:x=\frac{3}{2}$

Step-by-step explanation:

Given the equation

$3\left(x-4\right)\left(2x-3\right)=0$

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

$x-4=0\quad \mathrm{or}\quad \:2x-3=0$

now solving

$x - 4 = 0$

adding 4 to both sides

$x - 4 + 4 = 0 + 4$

simplifying

$x = 4$

and also solving

$2x - 3 = 0$

adding 3 to both sides

$2x - 3 + 3 = 0 + 3$

simplifying

$2x = 3$

divide both sides by 2

$\frac{2x}{2}=\frac{3}{2}$

simplifying

$x=\frac{3}{2}$

Therefore, the solution to the equation is:

$x=4,\:x=\frac{3}{2}$

Answer 2

Answer:

4 or 3/2

Step-by-step explanation:

I had this question on a quiz, I got it correct.