Question

Solve the equation by factoring:
2x^2-6x=0
x=
x=

Answer 1

2x(x - 3) = 0

Answer 2

First factor:
2x (x - 3) = 0
Next, set each term equal to zero (you can do this because they are multiplied).
So,
2x = 0
x = 0 / 2
x = 0

AND

x - 3 = 0
x = 3

SO, x = 0 AND/OR x = 3

You can also check these solutions by plugging them back into the original equation.