If it's not what You are looking for type in the equation solver your own equation and let us solve it.
8/2x+5=3/5x-2
We move all terms to the left:
8/2x+5-(3/5x-2)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: 5x-2)!=0We get rid of parentheses
x∈R
8/2x-3/5x+2+5=0
We calculate fractions
40x/10x^2+(-6x)/10x^2+2+5=0
We add all the numbers together, and all the variables
40x/10x^2+(-6x)/10x^2+7=0
We multiply all the terms by the denominator
40x+(-6x)+7*10x^2=0
Wy multiply elements
70x^2+40x+(-6x)=0
We get rid of parentheses
70x^2+40x-6x=0
We add all the numbers together, and all the variables
70x^2+34x=0
a = 70; b = 34; c = 0;
Δ = b2-4ac
Δ = 342-4·70·0
Δ = 1156
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{1156}=34$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(34)-34}{2*70}=\frac{-68}{140} =-17/35 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(34)+34}{2*70}=\frac{0}{140} =0 $
| 20-6(3j-19)=-8(4j-1) | | -6p=5(-p+15) | | 7x+3x-8=2(5x-4 | | 8x^2-48x+64=0 | | -6(-2w-1)=18w | | 8x^2-48x=-64 | | -5(6n-16)+12=2(-11n-6) | | 4.8d=21. | | x/6-8=-10 | | (Y-2)(y-2)=(y+1)(y+1)-3 | | 0.26e-14=26 | | X+(-2/5x)+12/5=3 | | 1/2(x+2)=1/3x−6 | | 1/(x-9)=2x/(x+2)-44/(x-9)(x-2) | | 9c+16c-16=3(9c-18) | | 7z+1/6-6z=3/3 | | x^2-2x+12=2x(x+10) | | 1/9-x=2x/x+2-44/(x-9)(x-2) | | 3g+2(-2g-2)=-5(-12g+13) | | x+2/3=x/4-1 | | 0.5-5/8x=7/8+3.5 | | 2x=140.25 | | 3n-27=30 | | -4(13z+10)=-6(8z+4) | | 3x÷4=150 | | 9−u=-u−10 | | 3+10m=-6+9m | | -8r−1=-9r−9 | | 10p+4=3+10p | | 0y=-10y | | -4(13z+10)=-6(8z+4 | | 7y+2-2y=17 |