SOLUTION: The directions say: Solve the equation. Check your solution. {{{2m/(m+4) = 3/(m-1)}}} 1. so what i did was cross multiply which gave me: {{{2m(m-1)=3(m+4)}

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Question 440606: The directions say: Solve the equation. Check your solution.

1. so what i did was cross multiply which gave me:
2. then i distributed the 2m and 3 giving me:
3. then i made it into a quadratic equation:

*** From here on I am lost, I tried factoring but i couldnt find anything that multiplies to -12 and adds
to -5
*** In the back of the book they showed the problem worked out, and from
here they managed to factor it to ; I'm confused

Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
2m^2 - 5m -12 = 0
----
2m^2 -8m+3m -12 = 0
----
2m(m-4)+3(m-4) = 0
---
(m-4)(2m+3) = 0
m = 4 or m = -3/2
======================
Cheers,
Stan H.

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
the sure-fire way is to use the quadratic formula

when equation is in the form









(1)
and the (-) square root,

(2)
Now just rewrite (1) and (2) to get factors


Multiply both sides by


This works no matter how strange the coefficients are

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