5=(1/2)(4x+8)-2x

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Solution for 5=(1/2)(4x+8)-2x equation:



5=(1/2)(4x+8)-2x
We move all terms to the left:
5-((1/2)(4x+8)-2x)=0
Domain of the equation: 2)(4x+8)-2x)!=0
x∈R
We add all the numbers together, and all the variables
-((+1/2)(4x+8)-2x)+5=0
We multiply parentheses ..
-((+4x^2+1/2*8)-2x)+5=0
We multiply all the terms by the denominator
-((+4x^2+1+5*2*8)-2x)=0
We calculate terms in parentheses: -((+4x^2+1+5*2*8)-2x), so:
(+4x^2+1+5*2*8)-2x
We get rid of parentheses
4x^2-2x+1+5*2*8
We add all the numbers together, and all the variables
4x^2-2x+81
Back to the equation:
-(4x^2-2x+81)
We get rid of parentheses
-4x^2+2x-81=0
a = -4; b = 2; c = -81;
Δ = b2-4ac
Δ = 22-4·(-4)·(-81)
Δ = -1292
Delta is less than zero, so there is no solution for the equation

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