3x(2x+1)=3(x+1)-3(4-2x)

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Solution for 3x(2x+1)=3(x+1)-3(4-2x) equation:



3x(2x+1)=3(x+1)-3(4-2x)
We move all terms to the left:
3x(2x+1)-(3(x+1)-3(4-2x))=0
We add all the numbers together, and all the variables
3x(2x+1)-(3(x+1)-3(-2x+4))=0
We multiply parentheses
6x^2+3x-(3(x+1)-3(-2x+4))=0
We calculate terms in parentheses: -(3(x+1)-3(-2x+4)), so:
3(x+1)-3(-2x+4)
We multiply parentheses
3x+6x+3-12
We add all the numbers together, and all the variables
9x-9
Back to the equation:
-(9x-9)
We get rid of parentheses
6x^2+3x-9x+9=0
We add all the numbers together, and all the variables
6x^2-6x+9=0
a = 6; b = -6; c = +9;
Δ = b2-4ac
Δ = -62-4·6·9
Δ = -180
Delta is less than zero, so there is no solution for the equation

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