If it's not what You are looking for type in the equation solver your own equation and let us solve it.
1/2k+5=1/3k+2
We move all terms to the left:
1/2k+5-(1/3k+2)=0
Domain of the equation: 2k!=0
k!=0/2
k!=0
k∈R
Domain of the equation: 3k+2)!=0We get rid of parentheses
k∈R
1/2k-1/3k-2+5=0
We calculate fractions
3k/6k^2+(-2k)/6k^2-2+5=0
We add all the numbers together, and all the variables
3k/6k^2+(-2k)/6k^2+3=0
We multiply all the terms by the denominator
3k+(-2k)+3*6k^2=0
Wy multiply elements
18k^2+3k+(-2k)=0
We get rid of parentheses
18k^2+3k-2k=0
We add all the numbers together, and all the variables
18k^2+k=0
a = 18; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·18·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{1}=1$$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-1}{2*18}=\frac{-2}{36} =-1/18 $$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*18}=\frac{0}{36} =0 $
| 6x+26x-10=8(4x-10) | | Y2-100=(y-10)(y+10) | | 2.3x=95/15 | | (-6)-5y=17 | | 13=19t-5-2 | | 2•7=g | | 20-x=352x | | 11-9=r | | 8t-3(t+7)=-20 | | n=10-8 | | 2x²=24 | | 2x+19=3x-20 | | h=-3+-3 | | -2n-2=2-n | | 9+3x-5=3x+12 | | (10x-30)=(10x-150) | | 2y–5+2y+8+3y–19=180 | | w=8-4 | | 2r+10=-6 | | 9x+30=10/x | | 6y+112-3y=y | | 6w-5w+3=20 | | -5(n+12)=-8-(n-12) | | w+14+5w+3w-5=180 | | r=1-3 | | w^2+48=0 | | 0.6x-0.15(40)=0.3(40+x) | | 1/x=3+7/x^2+7x | | 2(g-3)+2=3(g+1) | | a2+14a+45=(a+5)(a+9) | | -2c+1=-19 | | 9(x+3)=6(x+7)-9 |