-4x(x-1)-x=-7x-4

Solution for -4x(x-1)-x=-7x-4 equation:

-4x(x-1)-x=-7x-4

We move all terms to the left:

-4x(x-1)-x-(-7x-4)=0

We add all the numbers together, and all the variables

-1x-4x(x-1)-(-7x-4)=0

We multiply parentheses

-4x^2-1x+4x-(-7x-4)=0

We get rid of parentheses

-4x^2-1x+4x+7x+4=0

We add all the numbers together, and all the variables

-4x^2+10x+4=0

a = -4; b = 10; c = +4;
Δ = b2-4ac
Δ = 102-4·(-4)·4
Δ = 164
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:

$\sqrt{\Delta}=\sqrt{164}=\sqrt{4*41}=\sqrt{4}*\sqrt{41}=2\sqrt{41}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-2\sqrt{41}}{2*-4}=\frac{-10-2\sqrt{41}}{-8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+2\sqrt{41}}{2*-4}=\frac{-10+2\sqrt{41}}{-8}
$