-2x-9x(x-1)=-2

Solution for -2x-9x(x-1)=-2 equation:

-2x-9x(x-1)=-2

We move all terms to the left:

-2x-9x(x-1)-(-2)=0

We add all the numbers together, and all the variables

-2x-9x(x-1)+2=0

We multiply parentheses

-9x^2-2x+9x+2=0

We add all the numbers together, and all the variables

-9x^2+7x+2=0

a = -9; b = 7; c = +2;
Δ = b2-4ac
Δ = 72-4·(-9)·2
Δ = 121
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{121}=11$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-11}{2*-9}=\frac{-18}{-18}
=1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+11}{2*-9}=\frac{4}{-18}
=-2/9
$