SOLUTION: I'm really having trouble with these few problems here and I can't call anyone from my Algebra class that I know because they're all busy, so I was hoping that someone could help m

Question 81902This question is from textbook Algebra 1
: I'm really having trouble with these few problems here and I can't call anyone from my Algebra class that I know because they're all busy, so I was hoping that someone could help me? If you can you would forever have my gratitude!!
10. x/x^2-3=5/x+4 I know there is two answers to this problem
14. 4w/3w-2+2w/3w+2=2 I know the answer is w=4.
16. 12/x^2-16-3=24/x-4 The answers are -6 and -2.
Please, please tell me how to do these problems!! This question is from textbook Algebra 1

Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
10. Solve for x:
Multiply both sides by
Cancel as indicated and simplify.

Subtract x^2 from both sides.
Subtract 4x from both sides.
Factor this quadratic equation.
Apply the zero products principle.
and/or
so
so
Solutions:

14. Solve for w:
Multiply both sides by
Simplify.

Subtract from both sides.
Divide both sides by 4.

16. Solve for x:

Simplify.

Simplify by factoring out a 3.
Factor this quadratic equation.
Apply the zero products principle.
and/or
Solutions:

RELATED QUESTIONS
Can you please help me with these problems, I am studying for my algebra exam and there... (answered by edjones)

I am having difficulty in understanding the concept of factoring polynomials. I am having (answered by venugopalramana)

I am having trouble with the addition and multiplication principles of solving... (answered by Earlsdon)

Hey guys! Almost out of Alg. II now (thank god)... Have a final coming up soon and I have (answered by askmemath,unreal)

I am having problems understanding how to solve these equations as well as graph them.... (answered by Fombitz)

I am having some trouble with solving a few problems on my Algebra homework.... (answered by jsmallt9)

Hi, I would like to say thank you for your help in advanced! So my question is : If (answered by ikleyn,macston,MathTherapy)

We are using McDougal Littrells Algebra 1 book for my math class. My teacher uses... (answered by Earlsdon)

I am having trouble. I transferred from a school where they plop a book in front of you... (answered by solver91311)