(4/3)x-5/3=(1/3)x+10

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Solution for (4/3)x-5/3=(1/3)x+10 equation:



(4/3)x-5/3=(1/3)x+10
We move all terms to the left:
(4/3)x-5/3-((1/3)x+10)=0
Domain of the equation: 3)x!=0
x!=0/1
x!=0
x∈R
Domain of the equation: 3)x+10)!=0
x!=0/1
x!=0
x∈R
We add all the numbers together, and all the variables
(+4/3)x-((+1/3)x+10)-5/3=0
We multiply parentheses
4x^2-((+1/3)x+10)-5/3=0
We calculate fractions
4x^2=0
a = 4; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·4·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{0}{8}=0$

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