3(2/3w-10)=(1/2+5w)3

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Solution for 3(2/3w-10)=(1/2+5w)3 equation:



3(2/3w-10)=(1/2+5w)3
We move all terms to the left:
3(2/3w-10)-((1/2+5w)3)=0
Domain of the equation: 3w-10)!=0
w∈R
Domain of the equation: 2+5w)3)!=0
We move all terms containing w to the left, all other terms to the right
5w)3)!=-2
w!=-2/1
w!=-2
w∈R
We add all the numbers together, and all the variables
3(2/3w-10)-((+5w+1/2)3)=0
We multiply parentheses
6w-((+5w+1/2)3)-30=0
We multiply all the terms by the denominator
6w*2)3)-((+5w+1-30*2)3)=0
We add all the numbers together, and all the variables
6w*2)3)-((5w-59)3)=0
We add all the numbers together, and all the variables
6w*2)3)-((5w=0
Wy multiply elements
12w^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:
$w=\frac{-b}{2a}=\frac{0}{24}=0$

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