4(x-5)+2=1/3(x=9)+2x/3

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Solution for 4(x-5)+2=1/3(x=9)+2x/3 equation:



4(x-5)+2=1/3(x=9)+2x/3
We move all terms to the left:
4(x-5)+2-(1/3(x)=0
Domain of the equation: 3x+2!=0
We move all terms containing x to the left, all other terms to the right
3x!=-2
x!=-2/3
x!=-2/3
x∈R
We multiply parentheses
4x-(1/3x+2-20=0
We multiply all the terms by the denominator
4x*3x+2-20-(1=0
We add all the numbers together, and all the variables
4x*3x=0
Wy multiply elements
12x^2=0
a = 12; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·12·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{0}{24}=0$

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