8(-3/2x+6)=-9(4/3x-8

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Solution for 8(-3/2x+6)=-9(4/3x-8 equation: 



8(-3/2x+6)=-9(4/3x-8

We move all terms to the left:

8(-3/2x+6)-(-9(4/3x-8)=0



Domain of the equation: 2x+6)!=0

x∈R





Domain of the equation: 3x-8)!=0

x∈R



We multiply parentheses

-24x-(-9(4/3x-8)+48=0

We multiply all the terms by the denominator


-24x*3x-8)+48-(-9(4=0

We add all the numbers together, and all the variables

-24x*3x=0

Wy multiply elements

-72x^2=0

a = -72; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·(-72)·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{0}{-144}=0$

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