(-4x^2+284x)/x+4=300

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Solution for (-4x^2+284x)/x+4=300 equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

(284*x-4*x^2)/x+4 = 300 // - 300

(284*x-4*x^2)/x-300+4 = 0

(284*x-4*x^2)/x+(-300*x)/x+(4*x)/x = 0

284*x-4*x^2-300*x+4*x = 0

4*x-4*x^2-16*x = 0

-4*x^2-12*x = 0

-4*x^2-12*x = 0

-4*x*(x+3) = 0

x+3 = 0 // - 3

x = -3

-4*x*(x+3) = 0

(-4*x*(x+3))/x = 0

(-4*x*(x+3))/x = 0 // * x

-4*x*(x+3) = 0

( -4*x )

-4*x = 0 // : -4

x = 0

( x+3 )

x+3 = 0 // - 3

x = -3

x in { 0} 

x = -3

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