6x2=12-6x-x2

Simple and best practice solution for 6x2=12-6x-x2 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 6x2=12-6x-x2 equation:



6x^2=12-6x-x2
We move all terms to the left:
6x^2-(12-6x-x2)=0
We add all the numbers together, and all the variables
6x^2-(-6x-1x^2+12)=0
We get rid of parentheses
6x^2+1x^2+6x-12=0
We add all the numbers together, and all the variables
7x^2+6x-12=0
a = 7; b = 6; c = -12;
Δ = b2-4ac
Δ = 62-4·7·(-12)
Δ = 372
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:
$\sqrt{\Delta}=\sqrt{372}=\sqrt{4*93}=\sqrt{4}*\sqrt{93}=2\sqrt{93}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-2\sqrt{93}}{2*7}=\frac{-6-2\sqrt{93}}{14} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+2\sqrt{93}}{2*7}=\frac{-6+2\sqrt{93}}{14} $

See similar equations:

| 7x-(5x-1)-2x=3(5-2x)8 | | 4x²+16x=6(4x+10) | | 0=19x0.85 | | x*2x=10290 | | 3x-10+40=90 | | 8+2(4x+3)=-26 | | -3=3(x-3)+3x | | 6x2+2=34 | | 3=7x-23 | | –4=4(r+15)+–16 | | y=800-25 | | 5/4c=-45 | | 6x2+2=32 | | -7x2+3x=5x | | 6-4x=7x+9x+8 | | 2(x-4)-5x=-17 | | 5x2-3x+1=-3x2=2x | | x-50=x-10=180 | | 16x+4=7x+8 | | 3y+11=10y=180 | | X2+12=27x+70 | | (6x+-2)+(11x-3)=180 | | -3x2-2x=4-6x2+1 | | 40+2x-12=180 | | X2+4=10x | | k3+ 10=14 | | -x2-x-1=0 | | -15x2+17-6=0 | | 2x^2+18x-16=0 | | 10-2a=-5a-50 | | -6x2+7x=7x-4 | | 9x2+2=7x2-10 |

Equations solver categories