Question

(x-4)(3x+1)-3(x-2)^2

HELP ME SOLVE!!!!
:(

Answer 1

It's not an equation...what is there to solve?

Answer 2

Ooops!

(x-4)(3x+1) - 3(x-2)^2 > O

Solution set and graph.

Answer 3

Better mulitply it out and collect like terms first then we'll go from there.

Answer 4

I don"t know how to solve the 3(x-2)^2 :(

Answer 5

Can you do (x-2)(x-2) ?

Answer 6

I know the first part is 3x^2 -11x-4

Answer 7

Then you can multiply (x-2)(x-2)

Answer 8

x^2 - 4x + 4 ?

Answer 9

And now that answer times -3

Answer 10

-3x^2 +12x -12

Answer 11

So now we have:
\[3x^2-11x-4-3x^2+12x-12>0\]

Answer 12

So collect the like terms

Answer 13

x-16 ?

Answer 14

yes x - 16 is greater than 0...don't forget that part.
Now add 16 to both sides and you're done.

Answer 15

x > 16

Answer 16

Yeppers

Answer 17

Would the Solution Set be (16, Infinity)

Answer 18

Thank you @Mertsj !!!!!!

Answer 19

yes. in interval notation that is the correct solution. You're welcome