(3/2)(x-2)=6

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Solution for (3/2)(x-2)=6 equation:



(3/2)(x-2)=6
We move all terms to the left:
(3/2)(x-2)-(6)=0
Domain of the equation: 2)(x-2)!=0
x∈R
We add all the numbers together, and all the variables
(+3/2)(x-2)-6=0
We multiply parentheses ..
(+3x^2+3/2*-2)-6=0
We multiply all the terms by the denominator
(+3x^2+3-6*2*-2)=0
We get rid of parentheses
3x^2+3-2-6*2*=0
We add all the numbers together, and all the variables
3x^2=0
a = 3; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·3·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{0}{6}=0$

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