-5x-5=-5x(x-1)

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

-5x-5=-5x(x-1)

We move all terms to the left:

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


We calculate terms in parentheses: -(-5x(x-1)), so:

-5x(x-1)

We multiply parentheses

-5x^2+5x

Back to the equation:

-(-5x^2+5x)


We get rid of parentheses

5x^2-5x-5x-5=0

We add all the numbers together, and all the variables

5x^2-10x-5=0

a = 5; b = -10; c = -5;
Δ = b2-4ac
Δ = -102-4·5·(-5)
Δ = 200
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{200}=\sqrt{100*2}=\sqrt{100}*\sqrt{2}=10\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-10)-10\sqrt{2}}{2*5}=\frac{10-10\sqrt{2}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-10)+10\sqrt{2}}{2*5}=\frac{10+10\sqrt{2}}{10}
$