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-x(x-2)=3(2x+3)
We move all terms to the left:
-x(x-2)-(3(2x+3))=0
We multiply parentheses
-x^2+2x-(3(2x+3))=0
We calculate terms in parentheses: -(3(2x+3)), so:We add all the numbers together, and all the variables
3(2x+3)
We multiply parentheses
6x+9
Back to the equation:
-(6x+9)
-1x^2+2x-(6x+9)=0
We get rid of parentheses
-1x^2+2x-6x-9=0
We add all the numbers together, and all the variables
-1x^2-4x-9=0
a = -1; b = -4; c = -9;
Δ = b2-4ac
Δ = -42-4·(-1)·(-9)
Δ = -20
Delta is less than zero, so there is no solution for the equation
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