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3x(4x+7)-2x=5x+4x-7+7x^2
We move all terms to the left:
3x(4x+7)-2x-(5x+4x-7+7x^2)=0
We add all the numbers together, and all the variables
-(5x+4x-7+7x^2)-2x+3x(4x+7)=0
We multiply parentheses
-(5x+4x-7+7x^2)+12x^2-2x+21x=0
We get rid of parentheses
-7x^2+12x^2-5x-4x-2x+21x+7=0
We add all the numbers together, and all the variables
5x^2+10x+7=0
a = 5; b = 10; c = +7;
Δ = b2-4ac
Δ = 102-4·5·7
Δ = -40
Delta is less than zero, so there is no solution for the equation
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