If 2x²-6x=0, then select all that apply a. 2x=0 b. x-6=0 c. x-3=0 d. x+1=0

The equation can be factored as
.. 2x(x -3) = 0
Using the zero-product rule, each of the factors can be zero.
.. 2x = 0 . . . . . . selection A
.. x-3 = 0 . . . . . selection C

ANSWER




EXPLANATION

The given quadratic equation is


Since the constant term is zero, we can easily solve the given equation by factoring.

Then we factor to obtain,



Using the zero product property, we must have either



Therefore the correct answer is A and C.