# A Whole Bunch Of Factoring...Help

• Nov 3rd 2008, 11:56 AM
mikejones
A Whole Bunch Of Factoring...Help
Guys if you could just help me with any of these problems it would greatly be appreciated..I just can't seem to get factoring..thanks again

2. Solve: 2v^2=5v+3

3. Factor by grouping: 2s^2+7s+5

4. Factor the trinomial: 3w^2-39w+108

5. Factor: 50w^2+20w+2

6. Factor the trinomial: 42a^2-13a-42

7. Solve: 6w^2=7w

8. Solve the equation: 49s^2+84s=-36

9. Solve: a^2=35-2a

10. Solve the equation for a: 5a^2+39a+54=0

11. Factor by grouping: 6c^2-19c+10

12. Factor by grouping: 4+7xy-14y-2x

13. Factor by grouping: 4u^2+9u-28

Once again ANY help would be greatly appreciated..I know its alot and I apologize but this topic is NOT my cup of tea (Crying)
• Nov 3rd 2008, 12:16 PM
selucid
1. 4u^2-35u+49 = (4u-7)(u-7)
• Nov 3rd 2008, 12:22 PM
mikejones
Quote:

Originally Posted by selucid
1. 4u^2-35u+49 = (4u-7)(u-7)

Thanks!!
• Nov 3rd 2008, 12:32 PM
selucid
2. -2x^2+5v+3 = (-2x+1)(x+3)
• Nov 3rd 2008, 12:45 PM
mikejones
I don't mean to be taking advantage but it's just with factoring I get so lost..I could do the basics..for example x^2-2x-3 I know the answer is (x-9)(x+7) ..But when theres a number in front of the first X I get so confused..and then with grouping I know I have to factor out the GCF (right?) But sometimes I get stuck somewhere and It's very frustrating because I do not know where I got stuck
• Nov 3rd 2008, 01:08 PM
pnyfat
A) (u-7)(4u-7) --> u=7 or u=7/4
2) (v-3)(2v-1)=0 --> v=3 or v=1/2
3) (s+5)(2s+1)
4) (w-9)(3w-12)
5) (5w+1)(10w+2)
6) (7a+6)(6a-7)
7) w(6w-7)=0 --> w=0 or w=7/6
8) (7s+6)^2=0 --> s= -6/7 (two equal roots)
9) (a-5)(a+7)=0 --> a=5 or a=-7
T) (a+6)(5a+9)=0 --> a=-6 or a=-9/5
J) (3c-2)(2c-5)
Q) (4-2x)+(7xy-14y) --> -2(x-2)+7y(x-2) --> (7y-2)(x-2)
K) (u+4)(4u-7) --> u=-4 or u=7/4
• Nov 3rd 2008, 01:17 PM
mikejones
Quote:

Originally Posted by pnyfat
A) (u-7)(4u-7) --> u=7 or u=7/4
2) (v-3)(2v-1)=0 --> v=3 or v=1/2
3) (s+5)(2s+1)
4) (w-9)(3w-12)
5) (5w+1)(10w+2)
6) (7a+6)(6a-7)
7) w(6w-7)=0 --> w=0 or w=7/6
8) (7s+6)^2=0 --> s= -6/7 (two equal roots)
9) (a-5)(a+7)=0 --> a=5 or a=-7
T) (a+6)(5a+9)=0 --> a=-6 or a=-9/5
J) (3c-2)(2c-5)
Q) (4-2x)+(7xy-14y) --> -2(x-2)+7y(x-2) --> (7y-2)(x-2)
K) (u+4)(4u-7) --> u=-4 or u=7/4

OMG thank you so much..lifesaver lol ..1 question though..#8..it asks for a solution..would it be (7s+6)^2?