9-2x/10+3x=5x/9x

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Solution for 9-2x/10+3x=5x/9x equation: 


x in (-oo:+oo)

3*x-((2*x)/10)+9 = ((5*x)/9)*x // - ((5*x)/9)*x

3*x-(((5*x)/9)*x)-((2*x)/10)+9 = 0

(-5/9)*x^2+(-1/5)*x+3*x+9 = 0

14/5*x-5/9*x^2+9 = 0

DELTA = (14/5)^2-(-5/9*4*9)

DELTA = 696/25

DELTA > 0

x = ((696/25)^(1/2)-14/5)/(-5/9*2) or x = (-(696/25)^(1/2)-14/5)/(-5/9*2)

x = -9/10*((696/25)^(1/2)-14/5) or x = 9/10*((696/25)^(1/2)+14/5)

x in { -9/10*((696/25)^(1/2)-14/5), 9/10*((696/25)^(1/2)+14/5) }

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