2x-5x(x-2)=13x

Solution for 2x-5x(x-2)=13x equation:

2x-5x(x-2)=13x

We move all terms to the left:

2x-5x(x-2)-(13x)=0

We add all the numbers together, and all the variables

-11x-5x(x-2)=0

We multiply parentheses

-5x^2-11x+10x=0

We add all the numbers together, and all the variables

-5x^2-1x=0

a = -5; b = -1; c = 0;
Δ = b2-4ac
Δ = -12-4·(-5)·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-1}{2*-5}=\frac{0}{-10}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+1}{2*-5}=\frac{2}{-10}
=-1/5
$