SOLUTION: (3v-2)(2v+1)=3v^2-11v-10 Thanks

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Question 293099: (3v-2)(2v+1)=3v^2-11v-10
Thanks
Found 2 solutions by helpnalgebra, jim_thompson5910:
Answer by helpnalgebra(91) About Me  (Show Source):
You can put this solution on YOUR website!
v=-2,-4/3
let me know if you need step by step its kinda long but i will be glad to show you.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%283v-2%29%282v%2B1%29=3v%5E2-11v-10 Start with the given equation.


6v%5E2-v-2=3v%5E2-11v-10 FOIL


6v%5E2-v-2-3v%5E2%2B11v%2B10=0 Get every term to the left side.


3v%5E2%2B10v%2B8=0 Combine like terms.


Notice that the quadratic 3v%5E2%2B10v%2B8 is in the form of Av%5E2%2BBv%2BC where A=3, B=10, and C=8


Let's use the quadratic formula to solve for "v":


v+=+%28-B+%2B-+sqrt%28+B%5E2-4AC+%29%29%2F%282A%29 Start with the quadratic formula


v+=+%28-%2810%29+%2B-+sqrt%28+%2810%29%5E2-4%283%29%288%29+%29%29%2F%282%283%29%29 Plug in A=3, B=10, and C=8


v+=+%28-10+%2B-+sqrt%28+100-4%283%29%288%29+%29%29%2F%282%283%29%29 Square 10 to get 100.


v+=+%28-10+%2B-+sqrt%28+100-96+%29%29%2F%282%283%29%29 Multiply 4%283%29%288%29 to get 96


v+=+%28-10+%2B-+sqrt%28+4+%29%29%2F%282%283%29%29 Subtract 96 from 100 to get 4


v+=+%28-10+%2B-+sqrt%28+4+%29%29%2F%286%29 Multiply 2 and 3 to get 6.


v+=+%28-10+%2B-+2%29%2F%286%29 Take the square root of 4 to get 2.


v+=+%28-10+%2B+2%29%2F%286%29 or v+=+%28-10+-+2%29%2F%286%29 Break up the expression.


v+=+%28-8%29%2F%286%29 or v+=++%28-12%29%2F%286%29 Combine like terms.


v+=+-4%2F3 or v+=+-2 Simplify.


So the solutions are v+=+-4%2F3 or v+=+-2