(2z/3z-9)-(z+1/2z-6)

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Solution for (2z/3z-9)-(z+1/2z-6) equation: 


z in (-oo:+oo)

((2*z)/3)*z-z-((1/2)*z)-9+6 = 0

((2*z)/3)*z-z+(-1/2)*z-9+6 = 0

2/3*z^2-3/2*z-3 = 0

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

DELTA = 41/4

DELTA > 0

z = ((41/4)^(1/2)+3/2)/(2/3*2) or z = (3/2-(41/4)^(1/2))/(2/3*2)

z = 3/4*((41/4)^(1/2)+3/2) or z = 3/4*(3/2-(41/4)^(1/2))

z in { 3/4*(3/2-(41/4)^(1/2)), 3/4*((41/4)^(1/2)+3/2) }

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