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6-4x=7x-9x^2
We move all terms to the left:
6-4x-(7x-9x^2)=0
We get rid of parentheses
9x^2-7x-4x+6=0
We add all the numbers together, and all the variables
9x^2-11x+6=0
a = 9; b = -11; c = +6;
Δ = b2-4ac
Δ = -112-4·9·6
Δ = -95
Delta is less than zero, so there is no solution for the equation
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