Question

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

Answer 1

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 2

ANSWER

$a. \: \: 2x = 0$
$b. \: \: x - 3 = 0$


EXPLANATION

The given quadratic equation is
$2 {x}^{2} - 6x = 0$


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


Then we factor to obtain,

$2x(x - 3) = 0$

Using the zero product property, we must have either


$2x = 0 \: or \: x - 3 = 0$

Therefore the correct answer is A and C.