-3/4x+6=3x+9

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Solution for -3/4x+6=3x+9 equation: 



-3/4x+6=3x+9

We move all terms to the left:

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



Domain of the equation: 4x!=0

x!=0/4

x!=0

x∈R



We get rid of parentheses

-3/4x-3x-9+6=0

We multiply all the terms by the denominator


-3x*4x-9*4x+6*4x-3=0

Wy multiply elements

-12x^2-36x+24x-3=0

We add all the numbers together, and all the variables

-12x^2-12x-3=0

a = -12; b = -12; c = -3;
Δ = b2-4ac
Δ = -122-4·(-12)·(-3)
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{12}{-24}=-1/2$

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