# Solve by factoring and applying the zero product property.

#### marshall1432

##### Banned
Solve by factoring and applying the zero product property.

10x'2squared' - 13x=3

WORK DONE :

10x'squared' - 13x =3

(10x-9)(x-4)=3

10x-9=3 = 10x=12 ; x-4=3 = x=7

#### stapel

##### Super Moderator
Staff member
marshall1432 said:
10x'squared' - 13x =3

(10x-9)(x-4)=3
Apparently your classroom lecture and your textbook omitted a very important point: namely, the Zero Product Property! :shock:

To replace that missing information, please review the property in at least one online lesson. You will quickly see why your factorization cannot possibly lead to the correct answer.

Also, it appears that your class didn't cover factoring, so please study some lessons on factoring quadratics (which is also sometimes called factoring trinomials).

Once you have the necessary background material, please attempt the exercise again. If you get stuck, or are unsure of your solution, please reply showing all of your steps and reasoning. Thank you!

Eliz.

#### Subhotosh Khan

##### Super Moderator
Staff member
marshall1432 said:
Solve by factoring and applying the zero product property.

10x'2squared' - 13x=3

WORK DONE :

10x'squared' - 13x =3

(10x-9)(x-4)=3 <-- How did you get here from above

If you multiply out
(10x - 9)(x - 4),

do you get 10x^2 - 13x?

I get

10x^2 - 49x + 36 totally different from 10x^2 - 13x

10x-9=3 = 10x=12 ; x-4=3 = x=7

#### marshall1432

##### Banned
I am so lost subhotosh khan. Can you help me with this step by step so I can figure this thing out? Thanks

#### Subhotosh Khan

##### Super Moderator
Staff member
marshall1432 said:
I am so lost subhotosh khan. Can you help me with this step by step so I can figure this thing out? Thanks
Go to the sites suggested by stapel - you'll find many problems worked out step-by-step.