Y-3(a^2-2a+3)=a

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Solution for Y-3(a^2-2a+3)=a equation: 



-3(Y^2-2Y+3)=Y

We move all terms to the left:

-3(Y^2-2Y+3)-(Y)=0

We add all the numbers together, and all the variables

-1Y-3(Y^2-2Y+3)=0

We multiply parentheses

-3Y^2-1Y+6Y-9=0

We add all the numbers together, and all the variables

-3Y^2+5Y-9=0

a = -3; b = 5; c = -9;
Δ = b2-4ac
Δ = 52-4·(-3)·(-9)
Δ = -83
Delta is less than zero, so there is no solution for the equation

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