4x(2x+3)=-2x-4

Simple and best practice solution for 4x(2x+3)=-2x-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 4x(2x+3)=-2x-4 equation:



4x(2x+3)=-2x-4
We move all terms to the left:
4x(2x+3)-(-2x-4)=0
We multiply parentheses
8x^2+12x-(-2x-4)=0
We get rid of parentheses
8x^2+12x+2x+4=0
We add all the numbers together, and all the variables
8x^2+14x+4=0
a = 8; b = 14; c = +4;
Δ = b2-4ac
Δ = 142-4·8·4
Δ = 68
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:
$\sqrt{\Delta}=\sqrt{68}=\sqrt{4*17}=\sqrt{4}*\sqrt{17}=2\sqrt{17}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-2\sqrt{17}}{2*8}=\frac{-14-2\sqrt{17}}{16} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+2\sqrt{17}}{2*8}=\frac{-14+2\sqrt{17}}{16} $

See similar equations:

| g-(-1)=12 | | 12x-24+10x+30=180 | | 6+3y-6=5y+20 | | 3/4=z/14 | | 5z+17z=44 | | /34=z/14 | | 4.9t^2=0 | | 11-3x=24 | | -144=-8(8a-6) | | 5g+2(-3+3g)=1g | | 4/7y-3/5y=2 | | 3(8x-2)+2x=11 | | -9c+5=12 | | 6(1-3x)=-120 | | 20y+10=180 | | F(x)=3x^2-2x-6 | | 7(p+3)=2(p-2)-3p | | F(x)=x^-x-2 | | 14m-26-7m+18=-36 | | 25y-25=180 | | 6=9n+n | | 2/3x-1/2x-7=1/6x+7 | | 25y-25+20y+10=180 | | -10n-7=34 | | 6(x-2)=9x-3(2x-1 | | 15(2x-3)=8 | | 5+1.2x=10+0.6x | | 5(x+2)-(3x+10)=14 | | -7(2x+3)=-91 | | -7n-5=25 | | 6n=46 | | (2x-3)(3x-2)=10x+13 |

Equations solver categories