SOLUTION: Hello, can someone please help me with this? It's quite tricky. Thanks I have to find the value of c {{{ (x^2+x-6)/(6x^2+4x+c)=(x+3)/(2(3x+8)) }}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hello, can someone please help me with this? It's quite tricky. Thanks I have to find the value of c {{{ (x^2+x-6)/(6x^2+4x+c)=(x+3)/(2(3x+8)) }}}      Log On


   

Question 725027: Hello, can someone please help me with this? It's quite tricky. Thanks
I have to find the value of c
+%28x%5E2%2Bx-6%29%2F%286x%5E2%2B4x%2Bc%29=%28x%2B3%29%2F%282%283x%2B8%29%29+
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
+%28x%5E2%2Bx-6%29%2F%286x%5E2%2B4x%2Bc%29=%28x%2B3%29%2F%282%283x%2B8%29%29+
First thought is to try to simplify and then cross-multiply.


+%28x-2%29%2F%286x%5E2%2B4x%2Bc%29=1%2F%282%283x%2B8%29%29+
The cross-multiplying,
6x%5E2%2B4x%2Bc=%28x-2%292%283x%2B8%29
6x%5E2%2B4x%2Bc=2%283x%5E2-6x%2B8x-16%29
6x%5E2%2B4x%2Bc=2%283x%5E2%2B2x-16%29
highlight%286x%5E2%2B4x%2Bc=6x%5E2%2B4x-32%29

Checking terms in their corresponding positions, the term and number which is not in identical symbolism is the c and the -32. ANSWER:highlight%28c=-32%29.