If it's not what You are looking for type in the equation solver your own equation and let us solve it.
5/2x+7=3/3x+8
We move all terms to the left:
5/2x+7-(3/3x+8)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: 3x+8)!=0We get rid of parentheses
x∈R
5/2x-3/3x-8+7=0
We calculate fractions
15x/6x^2+(-6x)/6x^2-8+7=0
We add all the numbers together, and all the variables
15x/6x^2+(-6x)/6x^2-1=0
We multiply all the terms by the denominator
15x+(-6x)-1*6x^2=0
Wy multiply elements
-6x^2+15x+(-6x)=0
We get rid of parentheses
-6x^2+15x-6x=0
We add all the numbers together, and all the variables
-6x^2+9x=0
a = -6; b = 9; c = 0;
Δ = b2-4ac
Δ = 92-4·(-6)·0
Δ = 81
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{81}=9$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-9}{2*-6}=\frac{-18}{-12} =1+1/2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+9}{2*-6}=\frac{0}{-12} =0 $
| 33.14x=123.14 | | y+3=6y+27 | | v/2=44 | | 80(d-5)=5d+8 | | 3Πx=12Π | | 7/4w-2=-5 | | -13=-13x+26 | | -7t(t-3)+4t=3(7+t) | | 3x-x=-5+15 | | 9x+16x-10=5(5x+7) | | 4(2z−5)=-4 | | 7/4=1/3+x | | 2x+((1/2)x)+((1/4)x)+1=100 | | 9x+16x-10=25x+7 | | 5(x+2)+10=2x-(1-x)=0 | | 4(3x-1-5=75 | | 4t+6=15-5t | | 9+8+2v=-10-7v | | (x+3)/8+(x)/2=5 | | -3/8m+-13/8m=5 | | -40=12.t8 | | 10=100x/(24+x) | | 4(2z-1)=3z+11 | | x+x*2+(1/2)x+(1/4)x+1=100 | | 2y+7y+4=40 | | 8/9=x-1/3 | | 6+3(x+10)=-3 | | -7(3x-5)=32x-18 | | x*2+(1/2)x+(1/4)x+1=100 | | 5=10/7x+4 | | (14+20)+(19-2i)=33-18i | | 10r+4=80 |