1/3z^2-1/5z=8/15

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Solution for 1/3z^2-1/5z=8/15 equation: 


z in (-oo:+oo)

(1/3)*z^2-((1/5)*z) = 8/15 // - 8/15

(1/3)*z^2-((1/5)*z)-(8/15) = 0

(1/3)*z^2+(-1/5)*z-8/15 = 0

1/3*z^2-1/5*z-8/15 = 0

DELTA = (-1/5)^2-(-8/15*1/3*4)

DELTA = 169/225

DELTA > 0

z = ((169/225)^(1/2)+1/5)/(1/3*2) or z = (1/5-(169/225)^(1/2))/(1/3*2)

z = 8/5 or z = -1

z in { -1, 8/5 }

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