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17/2x+8=34/4x+16
We move all terms to the left:
17/2x+8-(34/4x+16)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: 4x+16)!=0We get rid of parentheses
x∈R
17/2x-34/4x-16+8=0
We calculate fractions
68x/8x^2+(-68x)/8x^2-16+8=0
We add all the numbers together, and all the variables
68x/8x^2+(-68x)/8x^2-8=0
We multiply all the terms by the denominator
68x+(-68x)-8*8x^2=0
Wy multiply elements
-64x^2+68x+(-68x)=0
We get rid of parentheses
-64x^2+68x-68x=0
We add all the numbers together, and all the variables
-64x^2=0
a = -64; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·(-64)·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:$x=\frac{-b}{2a}=\frac{0}{-128}=0$
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