1-6x=3/2x+7

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Solution for 1-6x=3/2x+7 equation: 



1-6x=3/2x+7

We move all terms to the left:

1-6x-(3/2x+7)=0



Domain of the equation: 2x+7)!=0

x∈R



We get rid of parentheses

-6x-3/2x-7+1=0

We multiply all the terms by the denominator


-6x*2x-7*2x+1*2x-3=0

Wy multiply elements

-12x^2-14x+2x-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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