-4(x)=x2+4x

Solution for -4(x)=x2+4x equation:

-4(x)=x2+4x

We move all terms to the left:

-4(x)-(x2+4x)=0

We add all the numbers together, and all the variables

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

We get rid of parentheses

-x^2-4x-4x=0

We add all the numbers together, and all the variables

-1x^2-8x=0

a = -1; b = -8; c = 0;
Δ = b2-4ac
Δ = -82-4·(-1)·0
Δ = 64
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{64}=8$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-8}{2*-1}=\frac{0}{-2}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+8}{2*-1}=\frac{16}{-2}
=-8
$