If it's not what You are looking for type in the equation solver your own equation and let us solve it.
7x-3/5x-2=-2
We move all terms to the left:
7x-3/5x-2-(-2)=0
Domain of the equation: 5x!=0We add all the numbers together, and all the variables
x!=0/5
x!=0
x∈R
7x-3/5x=0
We multiply all the terms by the denominator
7x*5x-3=0
Wy multiply elements
35x^2-3=0
a = 35; b = 0; c = -3;
Δ = b2-4ac
Δ = 02-4·35·(-3)
Δ = 420
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{420}=\sqrt{4*105}=\sqrt{4}*\sqrt{105}=2\sqrt{105}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{105}}{2*35}=\frac{0-2\sqrt{105}}{70} =-\frac{2\sqrt{105}}{70} =-\frac{\sqrt{105}}{35} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{105}}{2*35}=\frac{0+2\sqrt{105}}{70} =\frac{2\sqrt{105}}{70} =\frac{\sqrt{105}}{35} $
| 7x-3/2=-2/3 | | 6x+9=4x-8 | | 0=50+50t-4.9t^2 | | (40*x)+((10*(1.5*x))=815 | | 10/x=x+3 | | 40x+(10*1.5x)=815 | | 300*(8,61038/100)=x | | 5(3x-5)-9=-49 | | 7v-2)^(1/4)+7=12 | | 1=2(2x-4)-7 | | x+2/x+4=4/5 | | 9x-193=3x-13 | | X/5x+4x+7=x+15 | | 2(x-3)+5=8+x | | (90-x/2)+(90-x/2)+x=180 | | 9x+6+2x=7-3+10x | | 50-4x=5x+20 | | (90-x/2)x2+x=180 | | 2x-40=4(3x+5) | | 45x*5-47x=58x/74x+8 | | 3f-2+f=11 | | 10q-15+2q=8q+13 | | (e+3)×3=18 | | -11x-14=-3x-94 | | 17x-33=7x-23 | | x/10=-1/5 | | 4(2x-4)=2x+20 | | -4x-12=-28 | | -x-36=4(4x+4)-1 | | 2(3x-1)-7=27 | | 5x+21=6x+22 | | -6x+6=-3x+27 |