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Mathematics 19 Online
OpenStudy (anonymous):

Solve. x+4=-4/x

OpenStudy (anonymous):

\[x+4=-\frac{4}{x}\]?

OpenStudy (anonymous):

Yeah, that's the equation?

OpenStudy (anonymous):

multiply both sides by \(x\) to clear the fraction you get \[x(x+4)=-4\] then solve the quadratic equation you good from there?

OpenStudy (anonymous):

I have no clue.. what you just did. i'm confused

OpenStudy (anonymous):

Oh wait! It's -2?!

OpenStudy (anonymous):

i multiplied by \(x\) to get rid of the fraction

OpenStudy (anonymous):

its really simple x*(x+4)= x*(-4/x)

OpenStudy (anonymous):

on rhs x will be canceled by x

OpenStudy (anonymous):

\[(x+4)=-\frac{4}{x}\] \[x\times (x+4)=-\frac{4}{x}\times x\] \[x(x+4)=-4\] \[x^2+4x=-4\] \[x^2+4x+4=0\] etc yes it is \(x=-2\)

OpenStudy (anonymous):

you do not "factor" before you put everything on one side of the equal sign it is \[(x+2)^2=0\implies x=-2\] as you said

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