4x^2-16x=48, solve for xIts a math question (but there is oddly not a category for that)

Expert Answers

An illustration of the letter 'A' in a speech bubbles

4x^2-16x=48

or, 4(x^2) - 16x - 48 = 0

or, 4[(x^2) - 4x - 12] = 0

or, [(x^2) - 4x - 12] = 0 

or, [(x^2) - 6x + 2x - 12] = 0

or, [x(x-6) + 2(x-6)] = 0

or, [(x+2)*(x-6)] = 0

Thus, either, (x+2) = 0 , which gives x = -2 ...........(1)

or, (x-6) = 0 ; which gives x = 6..............(2)

Approved by eNotes Editorial
An illustration of the letter 'A' in a speech bubbles

4x^2-16x=48, solve for x

Step 1: turn it into a quadratic equation

4x^2-16x-48 = 0

Step 2: factor the polynomial by factoring out the 4s

4(x^2-4x-12) = 0

Now factor the trinomial that you have left

4(x+2)(x-6) = 0

If you know how to solve for a solution set, you should be able to work the rest of the problem from there.

You should get a solution set of

(-2,6)

See eNotes Ad-Free

Start your 48-hour free trial to get access to more than 30,000 additional guides and more than 350,000 Homework Help questions answered by our experts.

Get 48 Hours Free Access
Approved by eNotes Editorial