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4(x+2)=8(1/2x+1)
We move all terms to the left:
4(x+2)-(8(1/2x+1))=0
Domain of the equation: 2x+1))!=0We multiply parentheses
x∈R
4x-(8(1/2x+1))+8=0
We multiply all the terms by the denominator
4x*2x+8*2x+1))-(8(1+1))=0
We add all the numbers together, and all the variables
4x*2x+8*2x+1))-(82)=0
We add all the numbers together, and all the variables
4x*2x+8*2x=0
Wy multiply elements
8x^2+16x=0
a = 8; b = 16; c = 0;
Δ = b2-4ac
Δ = 162-4·8·0
Δ = 256
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{256}=16$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16)-16}{2*8}=\frac{-32}{16} =-2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+16}{2*8}=\frac{0}{16} =0 $
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