6x/4x-6=24/9x

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Solution for 6x/4x-6=24/9x equation: 


x in (-oo:+oo)

((6*x)/4)*x-6 = (24/9)*x // - (24/9)*x

((6*x)/4)*x-((24/9)*x)-6 = 0

((6*x)/4)*x+(-8/3)*x-6 = 0

3/2*x^2-8/3*x-6 = 0

DELTA = (-8/3)^2-(-6*3/2*4)

DELTA = 388/9

DELTA > 0

x = ((388/9)^(1/2)+8/3)/(3/2*2) or x = (8/3-(388/9)^(1/2))/(3/2*2)

x = ((388/9)^(1/2)+8/3)/3 or x = (8/3-(388/9)^(1/2))/3

x in { (8/3-(388/9)^(1/2))/3, ((388/9)^(1/2)+8/3)/3 }

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