SOLUTION: I'm having trouble with this problem it is 8x squared -16x+6=0. We are supposed to factor and solve it. Please help me understand it I have some of it worked out. 8x squared -1

Question 725354: I'm having trouble with this problem it is 8x squared -16x+6=0. We are supposed to factor and solve it. Please help me understand it I have some of it worked out.
8x squared -16x+6=0 add: -16 multiply: 48
-1 times -48,-4 times -12
8x squared -4x-12x+6=0
I am stuck right here.
Found 2 solutions by solver91311, erika514:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Ok, so far, so good.

Group into two binomials:

Go back and review that last step until you completely understand the reasons that the signs are the way they are, especially for the second binomial grouping.

Factor the GCF from each of the groups (4x from the first group, -6 from the second):

Notice that the binomials in parentheses are now identical. Factor them out.

From there it is just application of the Zero Product Rule.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it

Answer by erika514(39) (Show Source): You can put this solution on YOUR website!
Don't worry...we'll figure it out!;)
We need to factor our equation and once we do we should get 2(2x-1)(2x-3). We can get rid of the 2 out front by dividing by 2 and we still have (2x-1)(2x-3). Now we have two equations to solve for x and we will get two different solutions. For our first equation, we have 2x-1=0 so we add 1 to both sides to get x= 1/2. And for our other equation, we have 2x-3=0 so we add 3 to both sides and divide by 2 to get an answer of x=3/2. Our final solutions are x=1/2 and 3/2. Now we need to check to make sure these solutions work....I will do it for you this time, and they both work! In the future, the way you check your solutions is by plugging each value in for x and both sides of the equation should equal zero. Good luck, let me know if you have any more questions. :)
RELATED QUESTIONS
Hi there! I was wondering if you could help me by factoring trinomials using... (answered by Seutip)
We are solving quadratic equation. I tried to sole this problem, but I'm having some... (answered by ankor@dixie-net.com)
Can someone please help me solve this problem. I am having a lot of trouble working it... (answered by funmath)
On a worksheet we are having in algebra, my friends and I can not come up with a common... (answered by kietra)
please help me solve this problem. I have to factor it.... (answered by jim_thompson5910)
Can someone please help me solve this problem. I am having trouble understanding how to... (answered by checkley71)
Can you please help me with this question: Simplify. Assume both a and b are positive.... (answered by ewatrrr)
Can someone please help me with the work for this problem: 6x^2-11x-10 I need to factor... (answered by checkley71)
ok here is my problem me and my friend michael have the whole problem solved, we would... (answered by stanbon)