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2x(1-x)=3(2x+6)
We move all terms to the left:
2x(1-x)-(3(2x+6))=0
We add all the numbers together, and all the variables
2x(-1x+1)-(3(2x+6))=0
We multiply parentheses
-2x^2+2x-(3(2x+6))=0
We calculate terms in parentheses: -(3(2x+6)), so:We get rid of parentheses
3(2x+6)
We multiply parentheses
6x+18
Back to the equation:
-(6x+18)
-2x^2+2x-6x-18=0
We add all the numbers together, and all the variables
-2x^2-4x-18=0
a = -2; b = -4; c = -18;
Δ = b2-4ac
Δ = -42-4·(-2)·(-18)
Δ = -128
Delta is less than zero, so there is no solution for the equation
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