If it's not what You are looking for type in the equation solver your own equation and let us solve it.
2/3x+7=1/2x-2
We move all terms to the left:
2/3x+7-(1/2x-2)=0
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
Domain of the equation: 2x-2)!=0We get rid of parentheses
x∈R
2/3x-1/2x+2+7=0
We calculate fractions
4x/6x^2+(-3x)/6x^2+2+7=0
We add all the numbers together, and all the variables
4x/6x^2+(-3x)/6x^2+9=0
We multiply all the terms by the denominator
4x+(-3x)+9*6x^2=0
Wy multiply elements
54x^2+4x+(-3x)=0
We get rid of parentheses
54x^2+4x-3x=0
We add all the numbers together, and all the variables
54x^2+x=0
a = 54; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·54·0
Δ = 1
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{1}=1$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-1}{2*54}=\frac{-2}{108} =-1/54 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*54}=\frac{0}{108} =0 $
| .−3g+6+2g=15 | | 12-(4+n)=28 | | −10x=2(9−2x) | | 3(r+0.2)=2.2 | | 4y+(y*y)=96 | | -28r=84 | | X+(.7)x=90 | | 2(y+5)=18-12 | | y-21=-23 | | 2x+5=19x=7 | | 45000(1.03^x)=65000 | | 4m-2=(6-m) | | -3x-15=-3x+-18 | | +17=9x+26x | | (x-(x*0,2))*1,1=7000 | | -17=-3/2a | | 1.03^x=1.444444 | | 1x-0,2x=6363,64 | | 2(z-30)=10 | | −54 a= 66 | | 2(x-2)+2x=4x-3 | | 2x²+2x-84=0 | | 21-4r=-27 | | -10=5/6s | | 5x-(x-14)=6-2(x+14) | | -1/6x-(-6)=-6 | | 2(3e–7)=5(6–e) | | 0.6(-8x+9)=-1.2(4x-4.5) | | 1/2(6a-10)=-23 | | 2a+1/3a-1=3/2 | | 5w+2.6=12.8 | | 8v+11=8+11 |