If it's not what You are looking for type in the equation solver your own equation and let us solve it.
5/2k+8-11/2k=5k-4
We move all terms to the left:
5/2k+8-11/2k-(5k-4)=0
Domain of the equation: 2k!=0We get rid of parentheses
k!=0/2
k!=0
k∈R
5/2k-11/2k-5k+4+8=0
We multiply all the terms by the denominator
-5k*2k+4*2k+8*2k+5-11=0
We add all the numbers together, and all the variables
-5k*2k+4*2k+8*2k-6=0
Wy multiply elements
-10k^2+8k+16k-6=0
We add all the numbers together, and all the variables
-10k^2+24k-6=0
a = -10; b = 24; c = -6;
Δ = b2-4ac
Δ = 242-4·(-10)·(-6)
Δ = 336
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}
The end solution:
\sqrt{\Delta}=\sqrt{336}=\sqrt{16*21}=\sqrt{16}*\sqrt{21}=4\sqrt{21}k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(24)-4\sqrt{21}}{2*-10}=\frac{-24-4\sqrt{21}}{-20}k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24)+4\sqrt{21}}{2*-10}=\frac{-24+4\sqrt{21}}{-20}
| 5=4-b | | 2m+2m=12 | | -21=-18x+33 | | 4x-8=5x+30 | | 38=3p+5 | | 5w=10=100 | | 16=2x+1-7 | | X^+2-3x+8=0 | | 28t^2-17t=0 | | 5=x+5,x=10 | | 2(v+16)=40 | | 9-2x-6x=62 | | 11x-17=65=180 | | 32x+5=44x-9 | | 8w−8=80 | | f/4-5=-5 | | 3.2x+11=1.2x-1 | | -14=23r−14=23 | | 6÷y=2 | | 2(8-y)+3=17 | | (6x+4)+(3x+1)=5x | | r-14=23r−14=23 | | 6=7z−22 | | -2(z+5)=-14 | | -17+b=-21 | | -2x-6x=-63 | | 3=10x+20 | | 9v^2+29v=0 | | -28=n+(-11) | | 4j-71=79 | | -x=4x-50 | | 7(n+1)=21 |