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5(x+8)-7x=-(2x-4)5x-20=3(x-4)
We move all terms to the left:
5(x+8)-7x-(-(2x-4)5x-20)=0
We add all the numbers together, and all the variables
-7x+5(x+8)-(-(2x-4)5x-20)=0
We multiply parentheses
-7x+5x-(-(2x-4)5x-20)+40=0
We calculate terms in parentheses: -(-(2x-4)5x-20), so:We add all the numbers together, and all the variables
-(2x-4)5x-20
We multiply parentheses
-10x^2+20x-20
Back to the equation:
-(-10x^2+20x-20)
-(-10x^2+20x-20)-2x+40=0
We get rid of parentheses
10x^2-20x-2x+20+40=0
We add all the numbers together, and all the variables
10x^2-22x+60=0
a = 10; b = -22; c = +60;
Δ = b2-4ac
Δ = -222-4·10·60
Δ = -1916
Delta is less than zero, so there is no solution for the equation
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