5/9x^2-16/15x=3/2

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Solution for 5/9x^2-16/15x=3/2 equation: 


x in (-oo:+oo)

(5/9)*x^2-((16/15)*x) = 3/2 // - 3/2

(5/9)*x^2-((16/15)*x)-(3/2) = 0

(5/9)*x^2+(-16/15)*x-3/2 = 0

5/9*x^2-16/15*x-3/2 = 0

DELTA = (-16/15)^2-(-3/2*5/9*4)

DELTA = 1006/225

DELTA > 0

x = ((1006/225)^(1/2)+16/15)/(5/9*2) or x = (16/15-(1006/225)^(1/2))/(5/9*2)

x = 9/10*((1006/225)^(1/2)+16/15) or x = 9/10*(16/15-(1006/225)^(1/2))

x in { 9/10*(16/15-(1006/225)^(1/2)), 9/10*((1006/225)^(1/2)+16/15) }

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