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-2x(x-2)=8-3x
We move all terms to the left:
-2x(x-2)-(8-3x)=0
We add all the numbers together, and all the variables
-2x(x-2)-(-3x+8)=0
We multiply parentheses
-2x^2+4x-(-3x+8)=0
We get rid of parentheses
-2x^2+4x+3x-8=0
We add all the numbers together, and all the variables
-2x^2+7x-8=0
a = -2; b = 7; c = -8;
Δ = b2-4ac
Δ = 72-4·(-2)·(-8)
Δ = -15
Delta is less than zero, so there is no solution for the equation
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