3x+19/18x+20=16x/30x

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Solution for 3x+19/18x+20=16x/30x equation:


x in (-oo:+oo)

3*x+(19/18)*x+20 = ((16*x)/30)*x // - ((16*x)/30)*x

3*x-(((16*x)/30)*x)+(19/18)*x+20 = 0

(-8/15)*x^2+3*x+(19/18)*x+20 = 0

73/18*x-8/15*x^2+20 = 0

DELTA = (73/18)^2-(-8/15*4*20)

DELTA = 19153/324

DELTA > 0

x = ((19153/324)^(1/2)-73/18)/(-8/15*2) or x = (-(19153/324)^(1/2)-73/18)/(-8/15*2)

x = -15/16*((19153/324)^(1/2)-73/18) or x = 15/16*((19153/324)^(1/2)+73/18)

x in { -15/16*((19153/324)^(1/2)-73/18), 15/16*((19153/324)^(1/2)+73/18) }

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