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6x^2-8x+7=2x-5
We move all terms to the left:
6x^2-8x+7-(2x-5)=0
We get rid of parentheses
6x^2-8x-2x+5+7=0
We add all the numbers together, and all the variables
6x^2-10x+12=0
a = 6; b = -10; c = +12;
Δ = b2-4ac
Δ = -102-4·6·12
Δ = -188
Delta is less than zero, so there is no solution for the equation
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