3/5x+x=4

Simple and best practice solution for 3/5x+x=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 3/5x+x=4 equation:



3/5x+x=4
We move all terms to the left:
3/5x+x-(4)=0
Domain of the equation: 5x!=0
x!=0/5
x!=0
x∈R
We add all the numbers together, and all the variables
x+3/5x-4=0
We multiply all the terms by the denominator
x*5x-4*5x+3=0
Wy multiply elements
5x^2-20x+3=0
a = 5; b = -20; c = +3;
Δ = b2-4ac
Δ = -202-4·5·3
Δ = 340
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:
$\sqrt{\Delta}=\sqrt{340}=\sqrt{4*85}=\sqrt{4}*\sqrt{85}=2\sqrt{85}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-20)-2\sqrt{85}}{2*5}=\frac{20-2\sqrt{85}}{10} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-20)+2\sqrt{85}}{2*5}=\frac{20+2\sqrt{85}}{10} $

See similar equations:

| 2x-9=4x-29 | | 0.5(b+3)=0.2b-5 | | 12-x-3x=7x-43 | | F(3)=-2x-1 | | 15=5k13 | | 0.15*x=1 | | (x+16)(3x+11)=3x(x+5) | | 7y-3=6y-7 | | x+10=2(2x+2) | | 3,5x=3(0,5+1)+x | | (-9b+3)/3=-14 | | 5x=6x-30 | | -14=4(3x-1)+2 | | 3x^2/9^2x=27^-1 | | 4x+3=−3+2x | | 3b+14=28 | | 58x+22x=8888 | | x2-3x+9= | | 2(x/2)=14 | | 2(4x-7)=4 | | 3x^2/9^2=27^-1 | | 3x-4=x-10/3 | | 5(x-15)=25 | | 2x+11=31-8x | | 16=2x-5 | | 5.75=x | | 2x=x+52.5 | | 5x-4=9+x | | 15x-21-18x+22=32x-52-17 | | -2x-12=5(5x+3) | | 15=(15x) | | 2x-3*x+1=X |

Equations solver categories