-5a(a-1)=-5a-1a

Solution for -5a(a-1)=-5a-1a equation:

-5a(a-1)=-5a-1a

We move all terms to the left:

-5a(a-1)-(-5a-1a)=0

We add all the numbers together, and all the variables

-5a(a-1)-(-6a)=0

We multiply parentheses

-5a^2+5a-(-6a)=0

We get rid of parentheses

-5a^2+5a+6a=0

We add all the numbers together, and all the variables

-5a^2+11a=0

a = -5; b = 11; c = 0;
Δ = b2-4ac
Δ = 112-4·(-5)·0
Δ = 121
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{121}=11$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(11)-11}{2*-5}=\frac{-22}{-10}
=2+1/5
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+11}{2*-5}=\frac{0}{-10}
=0
$