3x=5/2x+4

Simple and best practice solution for 3x=5/2x+4 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 3x=5/2x+4 equation: 



3x=5/2x+4

We move all terms to the left:

3x-(5/2x+4)=0



Domain of the equation: 2x+4)!=0

x∈R



We get rid of parentheses

3x-5/2x-4=0

We multiply all the terms by the denominator


3x*2x-4*2x-5=0

Wy multiply elements

6x^2-8x-5=0

a = 6; b = -8; c = -5;
Δ = b2-4ac
Δ = -82-4·6·(-5)
Δ = 184
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:


$\sqrt{\Delta}=\sqrt{184}=\sqrt{4*46}=\sqrt{4}*\sqrt{46}=2\sqrt{46}$


$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-2\sqrt{46}}{2*6}=\frac{8-2\sqrt{46}}{12}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+2\sqrt{46}}{2*6}=\frac{8+2\sqrt{46}}{12}
$

See similar equations:

| 52=10−7u | | 9d–9=3d-3 | | −47=8b+1 | | 6b+7=73 | | x+5-3(x+1)=42-6(x-2) | | 4–3b=6b–5 | | 6.4–3b=6b–5 | | 4+3r+7=-22 | | z4+3z2+2=0 | | x+15-x=-57 | | 8=9c+8 | | 7–4c=3c–7 | | .n+11=2n | | .a+2=5+4a | | Y=6.88x-426 | | Y=3x*2-4x | | 2x2+12=110 | | 2(×-1)+6x=4(2x-1)+2 | | X-3a=-3 | | 5.2^3x+1=5.2^x+4 | | (1+i)^-1+(1+i)^-2+(1+i)^-3=3.675797927 | | 3/4·x-2=37 | | 5(x–7)=45 | | X2+6x-567=0 | | x+2*3=2x-6 | | 4t2-11t+6=0 | | 2q=5 | | 2^x=115 | | 5^x-2=2^3x-6 | | 2^2h-1-9×2^h-2+1=0 | | 6y-14=-38 | | (x^2-6x)(x^2-3)=(4x^2) |

Equations solver categories