3/5x^2=18/5x+3/5

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Solution for 3/5x^2=18/5x+3/5 equation: 


x in (-oo:+oo)

(3/5)*x^2 = (18/5)*x+3/5 // - (18/5)*x+3/5

(3/5)*x^2-((18/5)*x)-(3/5) = 0

(3/5)*x^2+(-18/5)*x-3/5 = 0

3/5*x^2-18/5*x-3/5 = 0

DELTA = (-18/5)^2-(-3/5*3/5*4)

DELTA = 72/5

DELTA > 0

x = ((72/5)^(1/2)+18/5)/(3/5*2) or x = (18/5-(72/5)^(1/2))/(3/5*2)

x = 5/6*((72/5)^(1/2)+18/5) or x = 5/6*(18/5-(72/5)^(1/2))

x in { 5/6*(18/5-(72/5)^(1/2)), 5/6*((72/5)^(1/2)+18/5) }

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