Answer:
[tex]0=x[/tex], [tex]3=x[/tex]
Step-by-step explanation:
One is given the following equation:
[tex]y=6x-2x^2[/tex]
Factor this expression:
[tex]y=-2x(x-3)[/tex]
Set the equation equal to (0), then use the zero-product property to solve for (x). The zero product property states that any number times zero equals zero. Thus, one can apply this here to solve for (x):
[tex]0=-2x(x-3)[/tex]
[tex]0=-2x[/tex] [tex]0=x-3[/tex]
Inverse operations,
[tex]0=-2x[/tex] [tex]0=x-3[/tex]
[tex]0=x[/tex] [tex]3=x[/tex]
