If it's not what You are looking for type in the equation solver your own equation and let us solve it.
3/x-4=5/2x-3
We move all terms to the left:
3/x-4-(5/2x-3)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: 2x-3)!=0We get rid of parentheses
x∈R
3/x-5/2x+3-4=0
We calculate fractions
6x/2x^2+(-5x)/2x^2+3-4=0
We add all the numbers together, and all the variables
6x/2x^2+(-5x)/2x^2-1=0
We multiply all the terms by the denominator
6x+(-5x)-1*2x^2=0
Wy multiply elements
-2x^2+6x+(-5x)=0
We get rid of parentheses
-2x^2+6x-5x=0
We add all the numbers together, and all the variables
-2x^2+x=0
a = -2; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·(-2)·0
Δ = 1
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{1}=1$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-1}{2*-2}=\frac{-2}{-4} =1/2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*-2}=\frac{0}{-4} =0 $
| 8x-50/2=7 | | 12(-6x+9)=-324 | | 8x+3=3x+10 | | 2x-2=-2x+4 | | (3x+40)=(6x-50) | | -15-7a=34 | | 3h=7(7/2−7/3h)−10 | | 3-(2x+6)=-13 | | -6+x/9=3 | | 3-4(2x+3)=3x/2 | | 3h=7(7/2−7/3h)−10 | | -3(3s-2)-6=-3(8s+3)-5 | | 3n+2/2=2n+17 | | 8=6a | | 42=100-8p | | -872=8(-8x-13) | | -3x-15=3x+15 | | -15+11c=7 | | 2(4x-5)/3x-1=3 | | 2x+30=4-x | | 3x+17x-3=5(4x+6) | | 4/5x+18=-6-4x | | 0.45x+0.05(6-x)=0.10(-69) | | -9(-9x-5)=-522 | | -6x+4=5x | | 12.5-0.25q=2 | | 5x+18=2(-2x-8)-2 | | 3(n-3)/4=2n-21 | | 0.45+0.05(6-x)=0.10(-69) | | 3(x+5)=6x+11-3x+4 | | 3x+23=4x+5 | | 822=-6(11x-5) |