x2+2x+6x=3

Simple and best practice solution for x2+2x+6x=3 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 x2+2x+6x=3 equation:



x2+2x+6x=3
We move all terms to the left:
x2+2x+6x-(3)=0
We add all the numbers together, and all the variables
x^2+8x-3=0
a = 1; b = 8; c = -3;
Δ = b2-4ac
Δ = 82-4·1·(-3)
Δ = 76
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:
$\sqrt{\Delta}=\sqrt{76}=\sqrt{4*19}=\sqrt{4}*\sqrt{19}=2\sqrt{19}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-2\sqrt{19}}{2*1}=\frac{-8-2\sqrt{19}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+2\sqrt{19}}{2*1}=\frac{-8+2\sqrt{19}}{2} $

See similar equations:

| 1u=6u | | 25x=45^2 | | 35x+35=1085 | | 0.5x+4=3/2x+2 | | 6x+12+3x+33=180 | | 17+20x=180 | | (9x/6)/5=12 | | 40x+63.75=695.75 | | x-|-13|=-47 | | 20x+17=90 | | 20x+17=180 | | 117+20x+17=90 | | x2-14x-30=0 | | 117+20x+17=180 | | 2.5^x=7 | | 4m-3=515 | | 4x=-8x+48 | | 4x=-8x=+48 | | 5a+3=52 | | 20x-30=5x | | 20x-30x=5x | | 37+x+3=90 | | 1/3x+2=32 | | -0.10(13)+0.30x=0.05(x-16) | | -3y+12=1.5-15 | | 7x+9=67 | | 0.11y+0.04(y+3000)=1170 | | 4y​=14 | | 29=m÷5 | | 4x=-8x=48 | | 20x+41.25=357.25 | | 3(x*x)+8x=0 |

Equations solver categories