Question

Solve the equation 2x^2-9x=0 by factoring

Answer 1

Answer: x = 0, $\frac{9}{2}$

Step-by-step explanation:

    Given:

2x^2-9x=0

    Rewrite:

0 = 2x² - 9x

    Factor:

0 = (2x - 9)x

    Solve:

x = 0, $\frac{9}{2}$

Answer 2

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

           $2x^2-9x=0\\x(2x-9)=0$<==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

   $x = 0\\\\2x-9=0\\2x=9\\x= \frac{9}{2}$

Thus the solutions are 9/2 and 0

Answer: 9/2, 0

For Further Reference: brainly.com/question/11254759?referrer=searchResults

Hope that helps!