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-4x+3=7/2x-2
We move all terms to the left:
-4x+3-(7/2x-2)=0
Domain of the equation: 2x-2)!=0We get rid of parentheses
x∈R
-4x-7/2x+2+3=0
We multiply all the terms by the denominator
-4x*2x+2*2x+3*2x-7=0
Wy multiply elements
-8x^2+4x+6x-7=0
We add all the numbers together, and all the variables
-8x^2+10x-7=0
a = -8; b = 10; c = -7;
Δ = b2-4ac
Δ = 102-4·(-8)·(-7)
Δ = -124
Delta is less than zero, so there is no solution for the equation
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