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3(2z-1)-2(z+9)=z(z+1)
We move all terms to the left:
3(2z-1)-2(z+9)-(z(z+1))=0
We multiply parentheses
6z-2z-(z(z+1))-3-18=0
We calculate terms in parentheses: -(z(z+1)), so:We add all the numbers together, and all the variables
z(z+1)
We multiply parentheses
z^2+z
Back to the equation:
-(z^2+z)
4z-(z^2+z)-21=0
We get rid of parentheses
-z^2+4z-z-21=0
We add all the numbers together, and all the variables
-1z^2+3z-21=0
a = -1; b = 3; c = -21;
Δ = b2-4ac
Δ = 32-4·(-1)·(-21)
Δ = -75
Delta is less than zero, so there is no solution for the equation
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