If it's not what You are looking for type in the equation solver your own equation and let us solve it.
6/2x+1=5/4x-3
We move all terms to the left:
6/2x+1-(5/4x-3)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: 4x-3)!=0We get rid of parentheses
x∈R
6/2x-5/4x+3+1=0
We calculate fractions
24x/8x^2+(-10x)/8x^2+3+1=0
We add all the numbers together, and all the variables
24x/8x^2+(-10x)/8x^2+4=0
We multiply all the terms by the denominator
24x+(-10x)+4*8x^2=0
Wy multiply elements
32x^2+24x+(-10x)=0
We get rid of parentheses
32x^2+24x-10x=0
We add all the numbers together, and all the variables
32x^2+14x=0
a = 32; b = 14; c = 0;
Δ = b2-4ac
Δ = 142-4·32·0
Δ = 196
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{196}=14$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-14}{2*32}=\frac{-28}{64} =-7/16 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+14}{2*32}=\frac{0}{64} =0 $
| w2–8w–9=0 | | x.2x+x.5=2x^2+5x | | 4*n=n+12 | | 5(n−3)=2n−6 | | 4=t/12 | | 3.14×r2=254.34 | | 4(l-5)=16 | | −19+2z=21 | | -9=-5+n/2 | | 5(x-1)=-50 | | 4x=-6+x+3 | | .6.4n-10=4.4n+6 | | 6r+4+7r-5=90 | | (5/2)*x+1=1/2+(1/2)*x | | x-16.15=25.35 | | -8x+6=34 | | R^2+3r−8=0 | | 3x+8x=-12 | | -16x^2+200=0 | | X=3x+37 | | 6(180-y/2)+y=180 | | X2+3x-13=0 | | 2.1x*x=3.28 | | 3*h=16 | | 5x*10.5x=3.28 | | 1/(x)+1/(x+6)=1/6 | | -2x+3=51 | | 2(x+8)=3(x+3)+2 | | 0.47x*x=3.28 | | 3/5x–4=2 | | (5)(5+b)=(6)(6+9) | | 55+x+(2x-49)=180 |