If it's not what You are looking for type in the equation solver your own equation and let us solve it.
10x-8/3x=2
We move all terms to the left:
10x-8/3x-(2)=0
Domain of the equation: 3x!=0We multiply all the terms by the denominator
x!=0/3
x!=0
x∈R
10x*3x-2*3x-8=0
Wy multiply elements
30x^2-6x-8=0
a = 30; b = -6; c = -8;
Δ = b2-4ac
Δ = -62-4·30·(-8)
Δ = 996
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{996}=\sqrt{4*249}=\sqrt{4}*\sqrt{249}=2\sqrt{249}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-2\sqrt{249}}{2*30}=\frac{6-2\sqrt{249}}{60} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+2\sqrt{249}}{2*30}=\frac{6+2\sqrt{249}}{60} $
| 1.5x+5=x-3 | | 4x−7=−4(7x−8)+25 | | 8x−6=4x+10 | | 7x+3=6x+8 | | x+(-14/3)=3/7 | | 0x^2+5x+6=0 | | 15/4-7x=9/4 | | (15x)+(10x(0.09))=100000 | | 7x-(×+2)+(-×+6)=82+34 | | 25xx=400 | | 2x-6/4=x+1/3 | | 3(x-3)=(5+7) | | x/8x+4=3x+7* | | x-0.12x=2000 | | x+-0.12x=2000 | | 2h/3+1=7h/15+3 | | 4x^2-48x-26=0 | | 34x=7-x | | 40x=14000-200x | | 3x=5/2=6(x-2) | | 4+8a=6 | | 7m-21=(m-3) | | 3(2-x)=3018X | | 7(x-1)-3x=11x | | (1/16)^2x=4x-5 | | 13^n=1/169 | | 5a-2/2a-11=2 | | 5/7=s/28 | | (2+4x)=122 | | x-5+(6/x)=0 | | 0.01x+x=150 | | 2x5-5/3=x-1 |