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6x(-2x+3)=31
We move all terms to the left:
6x(-2x+3)-(31)=0
We multiply parentheses
-12x^2+18x-31=0
a = -12; b = 18; c = -31;
Δ = b2-4ac
Δ = 182-4·(-12)·(-31)
Δ = -1164
Delta is less than zero, so there is no solution for the equation
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