a) (2018x - 1) - 2019x (2018x - 1)=0
<=> (2018x - 1)(1 - 2019x)=0
<=> 2018x-1=0
1-2019x=0
<=> x=1/2018
x=1/2019
b) x^3 + 6x^2 + 12x + 8 - x^3 + 6x^2 - 4=0
<=> 12x^2 + 12x + 4=0
<=> 12x^2 + 6x + 8x + 4=0
<=> 6x(2x + 1) + 4(2x+1)=0
<=> 2(3x+2)(2x+1)=0
<=> 3x+2=0
2x+1=0
<=> x=-2/3
x=-1/2
a) \(2018x-1+2019x\left(1-2018x\right)=0\)
\(2018x-1-2019x\left(2018x-1\right)=0\)
\(\left(2018x-1\right)\left(1-2019x\right)=0\)
\(\Rightarrow\orbr{\begin{cases}2018x-1=0\\1-2019x=0\end{cases}\Rightarrow\orbr{\begin{cases}x=\frac{1}{2018}\\x=\frac{1}{2019}\end{cases}}}\)