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Mathematics 27 Online
OpenStudy (anonymous):

4/x+12/x+3=-13

OpenStudy (anonymous):

\[\frac{16}{x} + 3 = -13\] \[\frac{16}{x} = -16\] -16 x = 16 x = -1

OpenStudy (anonymous):

no it' 4 over X and 12 over X+3 = -13

OpenStudy (anonymous):

ohh.... so \[\frac{4}{x} + \frac{12}{x + 3} = -13\]

OpenStudy (anonymous):

\[\frac{4(x+3) + 12(x)}{x(x + 3)} = -13\] cross multiply 4(x+3)+12(x) = -13(x(x+3))

OpenStudy (anonymous):

4(x+3)+12(x) = -13(x(x+3)) 4x + 12 + 12x = -13x^2 -39x 13 x^2+55 x+12 = 0 (4 + x) (3 + 13 x) = 0 \[x = -4, -\frac{3}{13}\]

OpenStudy (anonymous):

yes that's correct simplyfing rational expressions I don't understand the last part How did you get (4+x) (3+13x)=0

OpenStudy (anonymous):

it's factoring i should have wrote (13x + 3)(x + 4) it might look better this way but I'm not sure how i can explain factoring. go to this site http://tutorial.math.lamar.edu/Classes/Alg/Factoring.aspx example 3 part e look it over

OpenStudy (anonymous):

Thanks for all yor help

OpenStudy (anonymous):

no problem sorry i can't explain the factoring, but the site is awesome good luck

OpenStudy (anonymous):

It's ok thanks agan I'll check it out

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