3(2x-1)=(1/2)(4x-2)+2

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Solution for 3(2x-1)=(1/2)(4x-2)+2 equation:



3(2x-1)=(1/2)(4x-2)+2
We move all terms to the left:
3(2x-1)-((1/2)(4x-2)+2)=0
Domain of the equation: 2)(4x-2)+2)!=0
x∈R
We add all the numbers together, and all the variables
3(2x-1)-((+1/2)(4x-2)+2)=0
We multiply parentheses
6x-((+1/2)(4x-2)+2)-3=0
We multiply parentheses ..
-((+4x^2+1/2*-2)+2)+6x-3=0
We multiply all the terms by the denominator
-((+4x^2+1+6x*2*-2)+2)-3*2*-2)+2)=0
We calculate terms in parentheses: -((+4x^2+1+6x*2*-2)+2), so:
(+4x^2+1+6x*2*-2)+2
We get rid of parentheses
4x^2+6x*2*+1-2+2
We add all the numbers together, and all the variables
4x^2+6x*2*+1
Wy multiply elements
4x^2+12x^2+1
We add all the numbers together, and all the variables
16x^2+1
Back to the equation:
-(16x^2+1)
We add all the numbers together, and all the variables
-(16x^2+1)=0
We get rid of parentheses
-16x^2-1=0
a = -16; b = 0; c = -1;
Δ = b2-4ac
Δ = 02-4·(-16)·(-1)
Δ = -64
Delta is less than zero, so there is no solution for the equation

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