If it's not what You are looking for type in the equation solver your own equation and let us solve it.
1/3a-1=5/12a+2
We move all terms to the left:
1/3a-1-(5/12a+2)=0
Domain of the equation: 3a!=0
a!=0/3
a!=0
a∈R
Domain of the equation: 12a+2)!=0We get rid of parentheses
a∈R
1/3a-5/12a-2-1=0
We calculate fractions
12a/36a^2+(-15a)/36a^2-2-1=0
We add all the numbers together, and all the variables
12a/36a^2+(-15a)/36a^2-3=0
We multiply all the terms by the denominator
12a+(-15a)-3*36a^2=0
Wy multiply elements
-108a^2+12a+(-15a)=0
We get rid of parentheses
-108a^2+12a-15a=0
We add all the numbers together, and all the variables
-108a^2-3a=0
a = -108; b = -3; c = 0;
Δ = b2-4ac
Δ = -32-4·(-108)·0
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{9}=3$$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-3}{2*-108}=\frac{0}{-216} =0 $$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+3}{2*-108}=\frac{6}{-216} =-1/36 $
| E=Mc2 | | 6x-4(7-x)=14 | | 11x-3x=24 | | 24/x+7=6/7 | | 18(3+x)=12-9x-16 | | 6m^2+m-210=0 | | -0.8x-8.2=1 | | 5x−5=3x+13∘ | | 23+3y-8=12y-10-4y | | -3/4=u-1/8 | | 4x+3-(3x-5)=x+10 | | -31-(-16)=x/11 | | -2*8.5+y=-14 | | 5(4s+1)=125 | | x-0.20x=393,600 | | 42-14=4(x-8) | | -2(t+2)=10 | | -1/2w+4/3=5/6w+1/3 | | 4z-7z=-3z | | 5x+34=4x | | 3x+3=(5x-1) | | -7k+10=-8k | | 16x=384-80x | | 8(4-2x)=4(3-5x)+4x= | | 5(x+1)=6.4−2.7x | | -8v+5(v+5)=28 | | 10x+40/x+7=x | | 4(5x-4)=4x.X=2 | | 3x-2x-4=-6 | | 11n=14n-14 | | (2x-4)(3x+9)=6 | | 8(2+4n)-12=-12(-3-2n) |