3x=3+x2-6x

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



3x=3+x2-6x
We move all terms to the left:
3x-(3+x2-6x)=0
We add all the numbers together, and all the variables
-(+x^2-6x+3)+3x=0
We get rid of parentheses
-x^2+6x+3x-3=0
We add all the numbers together, and all the variables
-1x^2+9x-3=0
a = -1; b = 9; c = -3;
Δ = b2-4ac
Δ = 92-4·(-1)·(-3)
Δ = 69
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-\sqrt{69}}{2*-1}=\frac{-9-\sqrt{69}}{-2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+\sqrt{69}}{2*-1}=\frac{-9+\sqrt{69}}{-2} $

See similar equations:

| -7(4x-5)+8x=75 | | 3(x+6)=4(2x-7)+6 | | -5n-5=40 | | 3(x-2)+2(4-x)=5 | | 9-5t=-8t | | x+0.3=-1.31 | | X(x+8=0 | | 14x-3(2x+6)=46 | | m-341/7=5 | | 18x=2x+32 | | 16+4nn=-1 | | 2y+38=9y-36 | | 7(x+2)-4=-2(x-5) | | 5a-9=7a | | 4(x-2)-2(x-4)=5(x+1)+2x | | 8(g-81)=80 | | 6y+2=17+y | | x^2+x=33 | | 58g-8=18g+1 | | -4(x+8)+12=-2(x+1) | | 3=u+13/9 | | 8(4n-1)-2(8+6n)=36 | | 12=6(n-) | | 3(2x^2-5)-4x^2=2(4-x^2)+2 | | 8+5(n+8)=88 | | 2(15-x)-9=1 | | 32=3y-4 | | (3x+1)-+(2x-3)+(9x)=180 | | 3r–3=9 | | (11.7+r)/6=5.3 | | 7y=5.8+5y | | 7(x+5)=-3(x-13)+1 |

Equations solver categories