Which of the following represents all the possible values of x that satisfy the equation above?

The correct answer is: 0 and 4

○        The concept used in this question is concept of the equation.
○        In this question, equation with one variable is used, which contain only one variable.
○        In equation, LHS = RHS, always.
○        While solving separate the variable term and constant to get the solution

• Step by step explanation:

○        Given:
 = 
○        Step 1:
Cross multiply both side
 = 
2x = 2x(x - 3)
2x = 2x² - 6x
○        Step 2:
○        Rearrange the like term
2x² - 6x - 2x = 0
2x² - 8x = 0
○        Step 3:
○        Take x common from both terms
x(2x - 8) = 0
(x) (2x - 8) = 0
○        Step 3:
○        Equate both terms to zero
 x = 0
and
2x - 8 = 0
2x  = 8
x  = 
x  = 4
Hence, the value of x which satisfy above equation are 0 and 4.

• Final Answer:

Correct option is,
Option B. 0 and 4.