If it's not what You are looking for type in the equation solver your own equation and let us solve it.
x-5/5x+1=x+3/x
We move all terms to the left:
x-5/5x+1-(x+3/x)=0
Domain of the equation: 5x!=0
x!=0/5
x!=0
x∈R
Domain of the equation: x)!=0We add all the numbers together, and all the variables
x!=0/1
x!=0
x∈R
x-5/5x-(+x+3/x)+1=0
We get rid of parentheses
x-5/5x-x-3/x+1=0
We calculate fractions
x-x+(-5x)/5x^2+(-15x)/5x^2+1=0
We add all the numbers together, and all the variables
(-5x)/5x^2+(-15x)/5x^2+1=0
We multiply all the terms by the denominator
(-5x)+(-15x)+1*5x^2=0
Wy multiply elements
5x^2+(-5x)+(-15x)=0
We get rid of parentheses
5x^2-5x-15x=0
We add all the numbers together, and all the variables
5x^2-20x=0
a = 5; b = -20; c = 0;
Δ = b2-4ac
Δ = -202-4·5·0
Δ = 400
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{400}=20$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-20)-20}{2*5}=\frac{0}{10} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-20)+20}{2*5}=\frac{40}{10} =4 $
| 30=11-55w | | 36(b−1)+4=4(9b−8) | | 8x+4=12x+12 | | 30=14−3(1−5w) | | 30=14−3(1−5w | | 4.905t^2+12t=0 | | 1/x-4-2/x+5=2x-1/x^2+x-20 | | 11x-8=14x+1 | | 11x−8=14x+1 | | 7x=17/6 | | 20m+8=108 | | W=100-2t | | 0.2x=0.14x= | | x+11.3=16= | | x0.4=0.8= | | 9x+6=2x-19 | | 3x2–6x+3=0 | | 4.5x^2+60x-1440=0 | | 0.6x=0.42x= | | 45=1/2h(2+2) | | x+11.3=16x= | | 50000=1000x-5x^2 | | 0.2=0.14x= | | x/0.5=0.3x= | | -5y-6(8y+8)=-8-7(6-y) | | 5x+35=3x-18 | | x=x^2+46 | | x0.4=0.6x= | | (3x-5)^2=43 | | 6k+8=10k+4 | | 22-4n=28-2n | | 0.75(12h-32)=100 |