2x-3x(x-1)=-5

Solution for 2x-3x(x-1)=-5 equation:

2x-3x(x-1)=-5

We move all terms to the left:

2x-3x(x-1)-(-5)=0

We add all the numbers together, and all the variables

2x-3x(x-1)+5=0

We multiply parentheses

-3x^2+2x+3x+5=0

We add all the numbers together, and all the variables

-3x^2+5x+5=0

a = -3; b = 5; c = +5;
Δ = b2-4ac
Δ = 52-4·(-3)·5
Δ = 85
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-\sqrt{85}}{2*-3}=\frac{-5-\sqrt{85}}{-6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{85}}{2*-3}=\frac{-5+\sqrt{85}}{-6}
$