(2x^2+4x)/(6x^2-2x)=0

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Solution for (2x^2+4x)/(6x^2-2x)=0 equation:


D( x )

6*x^2-(2*x) = 0

6*x^2-(2*x) = 0

6*x^2-(2*x) = 0

6*x^2-2*x = 0

6*x^2-2*x = 0

DELTA = (-2)^2-(0*4*6)

DELTA = 4

DELTA > 0

x = (4^(1/2)+2)/(2*6) or x = (2-4^(1/2))/(2*6)

x = 1/3 or x = 0

x in (-oo:0) U (0:1/3) U (1/3:+oo)

(2*x^2+4*x)/(6*x^2-(2*x)) = 0

(2*x^2+4*x)/(6*x^2-2*x) = 0

2*x^2+4*x = 0

2*x*(x+2) = 0

x+2 = 0 // - 2

x = -2

2*x*(x+2) = 0

6*x^2-2*x = 0

2*x*(3*x-1) = 0

3*x-1 = 0 // + 1

3*x = 1 // : 3

x = 1/3

2*x*(x-1/3) = 0

(2*x*(x+2))/(2*x*(x-1/3)) = 0

( 2*x )

2*x = 0 // : 2

x = 0

( x+2 )

x+2 = 0 // - 2

x = -2

x in { 0}

x = -2

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