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.Com
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

Answer by BigToosie(32)   (Show Source): You can put this solution on YOUR website!

RELATED QUESTIONS

Multiply -5x + 4 by 4x^2 + x (answered by rfer)
find the lcd of the rational expression x+4 over x^2-4x and 4 over... (answered by math33)
multiply x^2 -4 / x^4 -3x^2 +4x -7 (answered by Fombitz)
x-2*sqrt(x-3)=3 solve for zero... I subtract x from both sides which =... (answered by stanbon)
2 X + 4x + 4 (answered by rapaljer)
x^2-4x+4 (answered by Mathtut,solver91311)
X^2+4x+4 (answered by Alan3354)
-x^2=4x+4 (answered by ewatrrr)
x^2-4x=-4 (answered by asuar010)