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x-9=2x(x-3)+12
We move all terms to the left:
x-9-(2x(x-3)+12)=0
We calculate terms in parentheses: -(2x(x-3)+12), so:We get rid of parentheses
2x(x-3)+12
We multiply parentheses
2x^2-6x+12
Back to the equation:
-(2x^2-6x+12)
-2x^2+x+6x-12-9=0
We add all the numbers together, and all the variables
-2x^2+7x-21=0
a = -2; b = 7; c = -21;
Δ = b2-4ac
Δ = 72-4·(-2)·(-21)
Δ = -119
Delta is less than zero, so there is no solution for the equation
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