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

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



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

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