2x+3/5x=3

Simple and best practice solution for 2x+3/5x=3 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 2x+3/5x=3 equation: 



2x+3/5x=3

We move all terms to the left:

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



Domain of the equation: 5x!=0

x!=0/5

x!=0

x∈R



We multiply all the terms by the denominator


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

Wy multiply elements

10x^2-15x+3=0

a = 10; b = -15; c = +3;
Δ = b2-4ac
Δ = -152-4·10·3
Δ = 105
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-15)-\sqrt{105}}{2*10}=\frac{15-\sqrt{105}}{20}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+\sqrt{105}}{2*10}=\frac{15+\sqrt{105}}{20}
$

See similar equations:

| -18=9y+10 | | 4(x-1)-5x=-(2x-3) | | 12=90/x | | 2(-7/2+m)+3=4(m-3)+11/2 | | 5x-3=2(2x+3)-3 | | x+1÷4-2=3 | | 2(-41/2+3=4(m-3)+51/2 | | -3m(2m-7)=0 | | x+1/4-2=3 | | -43=-y|3 | | Y+y/2=900 | | x-7+x=85 | | x^2+x9-36=0 | | a-2.01=5.5 | | s+49=3s+11 | | 1/4(4t-7)=t+7/8 | | t+44=2t+26 | | 5/x+4-7/x-4=12/x^2-16 | | -3(x+6)=-36 | | 4(b-2)=-4b-8(5+b) | | 10c=13.71 | | Y2+7y=-10 | | P(x)=-0.5x^2+40x+300 | | 5x-13=2x-9-3+3x | | 0=1/5x+3 | | 36+9/8r=-36 | | 4/3y-8=-4 | | 100d=13.71 | | 7t=t+48 | | 3x+(15x+18)=180 | | 2.25t=13.5t+9 | | 1/(2x)=-56 |

Equations solver categories