5x-5/6x^2=2x+10/6x^2

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Solution for 5x-5/6x^2=2x+10/6x^2 equation:


x in (-oo:+oo)

5*x-((5/6)*x^2) = (10/6)*x^2+2*x // - (10/6)*x^2+2*x

5*x-((5/6)*x^2)-((10/6)*x^2)-(2*x) = 0

(-5/6)*x^2+(-5/3)*x^2+5*x-2*x = 0

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

DELTA = 3^2-(-5/2*0*4)

DELTA = 9

DELTA > 0

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

x = 0 or x = 6/5

x in { 0, 6/5 }

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