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-3/4x+6=3x+9
We move all terms to the left:
-3/4x+6-(3x+9)=0
Domain of the equation: 4x!=0We get rid of parentheses
x!=0/4
x!=0
x∈R
-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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