SOLUTION: x+4=-4/x Multiply everything by the LCD which x x(x+4)= x(-4/x) x^2+4x = -4 Add 4 to both sides of the equation x^2+4x+4=-4+4 x^2+4x+4=0 Factor into two binomials (x+2)(x

Algebra ->  Rational-functions -> SOLUTION: x+4=-4/x Multiply everything by the LCD which x x(x+4)= x(-4/x) x^2+4x = -4 Add 4 to both sides of the equation x^2+4x+4=-4+4 x^2+4x+4=0 Factor into two binomials (x+2)(x      Log On


   

Question 879740: x+4=-4/x
Multiply everything by the LCD which x
x(x+4)= x(-4/x)
x^2+4x = -4
Add 4 to both sides of the equation
x^2+4x+4=-4+4
x^2+4x+4=0
Factor into two binomials
(x+2)(x+2)
set both equal to 0 and solve for x
x+2 =0 x+2=0
in both equation subtract 2 on both sides
x+2-2=0-2
x= -2
x+2-2=0-2
x= -2
Therefore x= -2
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