3x2+18x+6=0

Simple and best practice solution for 3x2+18x+6=0 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 3x2+18x+6=0 equation:



3x^2+18x+6=0
a = 3; b = 18; c = +6;
Δ = b2-4ac
Δ = 182-4·3·6
Δ = 252
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:
$\sqrt{\Delta}=\sqrt{252}=\sqrt{36*7}=\sqrt{36}*\sqrt{7}=6\sqrt{7}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(18)-6\sqrt{7}}{2*3}=\frac{-18-6\sqrt{7}}{6} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(18)+6\sqrt{7}}{2*3}=\frac{-18+6\sqrt{7}}{6} $

See similar equations:

| 1.5x=90-x | | x^2+(x+4)^2=400 | | 8p=312 | | 44=2b+4 | | 2c-29=-11 | | -5d=–8d–6d= | | 5x-12+3x=360 | | p-8=312 | | (2x-5)^2+6x=(x+5)(x-5) | | p+8=312 | | m=(-m⁹)(m¹⁸) | | 29=v/5-3 | | 9=-r+6+11-r | | 12.26+w=39w= | | 13x+2x+10=−2+3(5x+4) | | -6.4n-10=4.4n+6 | | 6(x−15)=40 | | (15x)-45=45 | | 23x+5=23x+5 | | 30/16=20/x | | -5(v+2)=2v+18 | | 450c-500=1300 | | 2v+18=5v | | 14+10m​=24 | | 6m+12+4m=20 | | 1.1x+2.2=-12.1 | | 6/x+15=7/3x+3 | | 29.50x-15=133 | | 45=d-23 | | 109=5s+9 | | -(7-5x)=6x-3 | | -24=2t-32 |

Equations solver categories