-8/3z-1+6/3z+1=5/9z^2-1

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Solution for -8/3z-1+6/3z+1=5/9z^2-1 equation: 


z in (-oo:+oo)

(-8/3)*z+(6/3)*z-1+1 = (5/9)*z^2-1 // - (5/9)*z^2-1

(-8/3)*z-((5/9)*z^2)+(6/3)*z-1+1+1 = 0

(-5/9)*z^2+(-8/3)*z+(6/3)*z-1+1+1 = 0

1-5/9*z^2-2/3*z = 0

DELTA = (-2/3)^2-(-5/9*1*4)

DELTA = 8/3

DELTA > 0

z = ((8/3)^(1/2)+2/3)/(-5/9*2) or z = (2/3-(8/3)^(1/2))/(-5/9*2)

z = -9/10*((8/3)^(1/2)+2/3) or z = -9/10*(2/3-(8/3)^(1/2))

z in { -9/10*((8/3)^(1/2)+2/3), -9/10*(2/3-(8/3)^(1/2)) }

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