3/2x+7x=2x-5

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Solution for 3/2x+7x=2x-5 equation:



3/2x+7x=2x-5
We move all terms to the left:
3/2x+7x-(2x-5)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
We add all the numbers together, and all the variables
7x+3/2x-(2x-5)=0
We get rid of parentheses
7x+3/2x-2x+5=0
We multiply all the terms by the denominator
7x*2x-2x*2x+5*2x+3=0
Wy multiply elements
14x^2-4x^2+10x+3=0
We add all the numbers together, and all the variables
10x^2+10x+3=0
a = 10; b = 10; c = +3;
Δ = b2-4ac
Δ = 102-4·10·3
Δ = -20
Delta is less than zero, so there is no solution for the equation

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