Question

(x)/(x-3)=(2x)/(2) ich of the following represents all the possibl x that satisfy the equation above?

Answer 1

To solve the equation (x)/(x-3)=(2x)/(2), we can cross multiply and simplify to get the quadratic equation 2x² - 8x = 0. Factoring and solving for x, we find x = 0 and x = 4 as the possible values.

Step-by-step explanation:

To solve the equation (x)/(x-3)=(2x)/(2), we can start by cross multiplying:

2(x) = (x-3)(2x)

Simplifying, we get:

2x = 2x^2 - 6x

Now we can rearrange the equation:

2x² - 8x = 0

Factoring out 2x, we have:

2x(x-4) = 0

Setting each factor equal to zero, we get:

2x = 0 or x-4 = 0

Solving for x in each case, we find the possible values of x that satisfy the equation are x = 0 and x = 4.