2x(x+4)=-4

Simple and best practice solution for 2x(x+4)=-4 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 2x(x+4)=-4 equation:



2x(x+4)=-4
We move all terms to the left:
2x(x+4)-(-4)=0
We add all the numbers together, and all the variables
2x(x+4)+4=0
We multiply parentheses
2x^2+8x+4=0
a = 2; b = 8; c = +4;
Δ = b2-4ac
Δ = 82-4·2·4
Δ = 32
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:
$\sqrt{\Delta}=\sqrt{32}=\sqrt{16*2}=\sqrt{16}*\sqrt{2}=4\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-4\sqrt{2}}{2*2}=\frac{-8-4\sqrt{2}}{4} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+4\sqrt{2}}{2*2}=\frac{-8+4\sqrt{2}}{4} $

See similar equations:

| Y=-50x+800 | | --2/3b=20 | | 35=11x= | | (5x-1)(3-2x)=0 | | 35=7x= | | a+1/3a=20 | | 6=10k=20/15 | | y+y+2y=0 | | 25=7x= | | x-9=2x-31 | | 6(x+1)=8(4-2x)-4 | | 3z/4+39=180 | | 0.75x-6.50=50 | | 10.1=t+7.2= | | 22=11-b/2+b-5/3 | | 0.07=10m= | | -9+a/3=-7 | | -2x-6=5x-55 | | 6=7+n/15 | | m-3/4=8 | | 2x-5=3+6(x+2) | | 1+x/18=0 | | y/4=2.7 | | 9b-7=101 | | 4r-3=2r+8 | | 50=y+43 | | (15y-20)+(12y-16)=180 | | 6y-7+1=180 | | 5y+8=13+17 | | (z/4+42)+(z/2)=180 | | 4x+2(3x-1)=32 | | x∙(1-3)=8 |

Equations solver categories