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5/2x+8=-2x+10
We move all terms to the left:
5/2x+8-(-2x+10)=0
Domain of the equation: 2x!=0We get rid of parentheses
x!=0/2
x!=0
x∈R
5/2x+2x-10+8=0
We multiply all the terms by the denominator
2x*2x-10*2x+8*2x+5=0
Wy multiply elements
4x^2-20x+16x+5=0
We add all the numbers together, and all the variables
4x^2-4x+5=0
a = 4; b = -4; c = +5;
Δ = b2-4ac
Δ = -42-4·4·5
Δ = -64
Delta is less than zero, so there is no solution for the equation
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