x=(-5x-1)(2x+8)

Solution for x=(-5x-1)(2x+8) equation:

x=(-5x-1)(2x+8)

We move all terms to the left:

x-((-5x-1)(2x+8))=0

We multiply parentheses ..

-((-10x^2-40x-2x-8))+x=0


We calculate terms in parentheses: -((-10x^2-40x-2x-8)), so:

(-10x^2-40x-2x-8)

We get rid of parentheses

-10x^2-40x-2x-8

We add all the numbers together, and all the variables

-10x^2-42x-8

Back to the equation:

-(-10x^2-42x-8)


We get rid of parentheses

10x^2+42x+x+8=0

We add all the numbers together, and all the variables

10x^2+43x+8=0

a = 10; b = 43; c = +8;
Δ = b2-4ac
Δ = 432-4·10·8
Δ = 1529
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{-(43)-\sqrt{1529}}{2*10}=\frac{-43-\sqrt{1529}}{20}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(43)+\sqrt{1529}}{2*10}=\frac{-43+\sqrt{1529}}{20}
$