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14-43=3x(x-4)-9
We move all terms to the left:
14-43-(3x(x-4)-9)=0
We add all the numbers together, and all the variables
-(3x(x-4)-9)-29=0
We calculate terms in parentheses: -(3x(x-4)-9), so:We get rid of parentheses
3x(x-4)-9
We multiply parentheses
3x^2-12x-9
Back to the equation:
-(3x^2-12x-9)
-3x^2+12x+9-29=0
We add all the numbers together, and all the variables
-3x^2+12x-20=0
a = -3; b = 12; c = -20;
Δ = b2-4ac
Δ = 122-4·(-3)·(-20)
Δ = -96
Delta is less than zero, so there is no solution for the equation
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