6x=9x(3+x)

Simple and best practice solution for 6x=9x(3+x) 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 6x=9x(3+x) equation:



6x=9x(3+x)
We move all terms to the left:
6x-(9x(3+x))=0
We add all the numbers together, and all the variables
6x-(9x(x+3))=0
We calculate terms in parentheses: -(9x(x+3)), so:
9x(x+3)
We multiply parentheses
9x^2+27x
Back to the equation:
-(9x^2+27x)
We get rid of parentheses
-9x^2+6x-27x=0
We add all the numbers together, and all the variables
-9x^2-21x=0
a = -9; b = -21; c = 0;
Δ = b2-4ac
Δ = -212-4·(-9)·0
Δ = 441
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{441}=21$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-21)-21}{2*-9}=\frac{0}{-18} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-21)+21}{2*-9}=\frac{42}{-18} =-2+1/3 $

See similar equations:

| 6x=9(3+×) | | 36+t=36 | | 7/2x-5/2x=20/3x+10 | | 10(6x-2)=80x | | 2w-5(w-1)=3w+1 | | 7x-5x=48 | | -x2-4x;x=–3 | | 2x-10-4x+2=27-2x-5-3x | | 2x-10-4×+2=27-2×-5-3x | | x-2/x+8=2x+3/2x-1 | | 5-(x+2)-1=8 | | 1+3(x+2)+5=15 | | 7x+x=12.5 | | 8y+13=7y+5-11 | | x+x+x+x+x+x+x/7=12 | | 12t=72 | | 75x3-27x=0 | | 2x+17+3x-3=49-3x+37 | | 2x17+3x-3=49-3x+37 | | P(x)=x³-7x+5 | | 4+12x=-16+9x | | 2x-19=x- | | 3(x-10)=10 | | x-1.6/3.2=10 | | 4x+5=8x-1 | | 25/50=k/5 | | Y=6x-98 | | x/5=-2. | | G(0)=3x+-8 | | 7x+3÷9=5 | | 38c=240 | | 1.9=x/1.4 |

Equations solver categories