If it's not what You are looking for type in the equation solver your own equation and let us solve it.
1/6x-11=2/3x+4
We move all terms to the left:
1/6x-11-(2/3x+4)=0
Domain of the equation: 6x!=0
x!=0/6
x!=0
x∈R
Domain of the equation: 3x+4)!=0We get rid of parentheses
x∈R
1/6x-2/3x-4-11=0
We calculate fractions
3x/18x^2+(-12x)/18x^2-4-11=0
We add all the numbers together, and all the variables
3x/18x^2+(-12x)/18x^2-15=0
We multiply all the terms by the denominator
3x+(-12x)-15*18x^2=0
Wy multiply elements
-270x^2+3x+(-12x)=0
We get rid of parentheses
-270x^2+3x-12x=0
We add all the numbers together, and all the variables
-270x^2-9x=0
a = -270; b = -9; c = 0;
Δ = b2-4ac
Δ = -92-4·(-270)·0
Δ = 81
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{81}=9$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-9)-9}{2*-270}=\frac{0}{-540} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9)+9}{2*-270}=\frac{18}{-540} =-1/30 $
| -3-6(x-7)=4 | | 3x-46-35+1/2x=360 | | 8s=6s-10 | | 2(2t+4)=3/4(24-18t) | | d=2d+6 | | 1.58=1.8+2.2r | | -5k-10=-5(1+2k) | | 9^(x+7)=11 | | -7q-2=-6q | | 4x+16x+11=0 | | 2(v-3)=3(v+1) | | 8n=-8(1-n)+8 | | -6k+4=-7k | | 2.5=y+5 | | 2p+6+3p=-4p-12 | | 5+6+9=7y | | e/5-14=8 | | 2(3-)-2b=6(-b+2)-26 | | -2(n-6)=19-2n | | 8+2(3x-3)=-3(-4x-2)+8 | | 6+5s=-s | | 3x+0.3=3.3. | | 1/5+25x=25 | | 2^x+2=11^-9x | | x3=125/1000 | | 8(4-4x)+6=38-6x | | 2u-9=7 | | 8+r/9=-13 | | 1/4+1/2=4t | | 7-3=3+7t | | g=-7 | | -1/3(9x+42)5x=-70 |