2x-(4x+5)=3/2x-8

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Solution for 2x-(4x+5)=3/2x-8 equation:



2x-(4x+5)=3/2x-8
We move all terms to the left:
2x-(4x+5)-(3/2x-8)=0
Domain of the equation: 2x-8)!=0
x∈R
We get rid of parentheses
2x-4x-3/2x-5+8=0
We multiply all the terms by the denominator
2x*2x-4x*2x-5*2x+8*2x-3=0
Wy multiply elements
4x^2-8x^2-10x+16x-3=0
We add all the numbers together, and all the variables
-4x^2+6x-3=0
a = -4; b = 6; c = -3;
Δ = b2-4ac
Δ = 62-4·(-4)·(-3)
Δ = -12
Delta is less than zero, so there is no solution for the equation

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