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6(x+1)-5x=8+2x(x-1)
We move all terms to the left:
6(x+1)-5x-(8+2x(x-1))=0
We add all the numbers together, and all the variables
-5x+6(x+1)-(8+2x(x-1))=0
We multiply parentheses
-5x+6x-(8+2x(x-1))+6=0
We calculate terms in parentheses: -(8+2x(x-1)), so:We add all the numbers together, and all the variables
8+2x(x-1)
determiningTheFunctionDomain 2x(x-1)+8
We multiply parentheses
2x^2-2x+8
Back to the equation:
-(2x^2-2x+8)
x-(2x^2-2x+8)+6=0
We get rid of parentheses
-2x^2+x+2x-8+6=0
We add all the numbers together, and all the variables
-2x^2+3x-2=0
a = -2; b = 3; c = -2;
Δ = b2-4ac
Δ = 32-4·(-2)·(-2)
Δ = -7
Delta is less than zero, so there is no solution for the equation
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