3=5x+6/2x-3

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Solution for 3=5x+6/2x-3 equation:



3=5x+6/2x-3
We move all terms to the left:
3-(5x+6/2x-3)=0
Domain of the equation: 2x-3)!=0
x∈R
We get rid of parentheses
-5x-6/2x+3+3=0
We multiply all the terms by the denominator
-5x*2x+3*2x+3*2x-6=0
Wy multiply elements
-10x^2+6x+6x-6=0
We add all the numbers together, and all the variables
-10x^2+12x-6=0
a = -10; b = 12; c = -6;
Δ = b2-4ac
Δ = 122-4·(-10)·(-6)
Δ = -96
Delta is less than zero, so there is no solution for the equation

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