If it's not what You are looking for type in the equation solver your own equation and let us solve it.
5/6x-1/9x=-102
We move all terms to the left:
5/6x-1/9x-(-102)=0
Domain of the equation: 6x!=0
x!=0/6
x!=0
x∈R
Domain of the equation: 9x!=0We add all the numbers together, and all the variables
x!=0/9
x!=0
x∈R
5/6x-1/9x+102=0
We calculate fractions
45x/54x^2+(-6x)/54x^2+102=0
We multiply all the terms by the denominator
45x+(-6x)+102*54x^2=0
Wy multiply elements
5508x^2+45x+(-6x)=0
We get rid of parentheses
5508x^2+45x-6x=0
We add all the numbers together, and all the variables
5508x^2+39x=0
a = 5508; b = 39; c = 0;
Δ = b2-4ac
Δ = 392-4·5508·0
Δ = 1521
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{1521}=39$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(39)-39}{2*5508}=\frac{-78}{11016} =-13/1836 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(39)+39}{2*5508}=\frac{0}{11016} =0 $
| 4z-8+1z=13 | | 35/4=c-8/2 | | 4.8*x=23.04 | | 4.9x+2.6x-19.25=-0.2x | | 4x-16+5x=24 | | 4=18m | | -y+291=113 | | 4x−16+5x=24 | | 112x+37=180 | | 7.5x+90=360 | | 37x+112=180 | | 9n+4=14 | | 3-12=12-2x | | 8x=10x^2 | | n/5=23.4-2 | | 10x2+26x=-16 | | 4(d+7)=8 | | 5/7d-1/2=1/3 | | 4x+x-7=23 | | 5x+18=4x+48 | | 8=0.1x-0.2x-2 | | 12a+3=48 | | 233/832=k | | 7+p=89 | | 3^(5x+3)=16 | | 2x-2=3x+12 | | 6(5a+a)=54 | | 5p+6/8=2/3 | | 25=x/8+3 | | -a/0-8=-24 | | 3^5x+3=16 | | (e+4)×2=10 |