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4/5x-6=-8x-10
We move all terms to the left:
4/5x-6-(-8x-10)=0
Domain of the equation: 5x!=0We get rid of parentheses
x!=0/5
x!=0
x∈R
4/5x+8x+10-6=0
We multiply all the terms by the denominator
8x*5x+10*5x-6*5x+4=0
Wy multiply elements
40x^2+50x-30x+4=0
We add all the numbers together, and all the variables
40x^2+20x+4=0
a = 40; b = 20; c = +4;
Δ = b2-4ac
Δ = 202-4·40·4
Δ = -240
Delta is less than zero, so there is no solution for the equation
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