To factor something, we essentialy take apart the equation until we reach its most basic form as shown below
⇒ formal terms: break the expression down into smaller
expressions that are multiplied together
[tex]2x^2-9x=0\\x(2x-9)=0[/tex]<==factored form
To find the solutions in this case, we set the two parts of the factored forms, 'x' and '2x-9' equal to zero, and solve for x
[tex]x = 0\\\\2x-9=0\\2x=9\\x= \frac{9}{2}[/tex]
Thus the solutions are 9/2 and 0
Answer: 9/2, 0
For Further Reference: https://brainly.com/question/11254759?referrer=searchResults
Hope that helps!
