1/5x+1/5x=3x+9

Simple and best practice solution for 1/5x+1/5x=3x+9 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 1/5x+1/5x=3x+9 equation: 



1/5x+1/5x=3x+9

We move all terms to the left:

1/5x+1/5x-(3x+9)=0



Domain of the equation: 5x!=0

x!=0/5

x!=0

x∈R



We get rid of parentheses

1/5x+1/5x-3x-9=0

We multiply all the terms by the denominator


-3x*5x-9*5x+1+1=0

We add all the numbers together, and all the variables

-3x*5x-9*5x+2=0

Wy multiply elements

-15x^2-45x+2=0

a = -15; b = -45; c = +2;
Δ = b2-4ac
Δ = -452-4·(-15)·2
Δ = 2145
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{-(-45)-\sqrt{2145}}{2*-15}=\frac{45-\sqrt{2145}}{-30}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-45)+\sqrt{2145}}{2*-15}=\frac{45+\sqrt{2145}}{-30}
$

See similar equations:

| 2r+8/6=5r-40/5 | | x^2+4x−5=7 | | y=3/8=3/4 | | -9^2=30x+25 | | 1/2(2x+2)-2x=-2 | | 504/y=28 | | -6+4v=14 | | (d-4)(d-4)=0 | | ½(2x+2)-2x=-2 | | x-17;x=6 | | (d-2)(d+2)=0 | | s+5=57 | | 504/y=23 | | -5z^-10z=0 | | y/8-6=8 | | 57=s+5 | | Y=-x2+2x+15 | | 23=m=31 | | t-47=-7 | | 0.83=1*1.18^-x*45 | | 2n2-3n-20=0 | | (d-2)(d+4)=0 | | 4u/3=48 | | 1/2a+20=-15 | | (d-4)(d+4)=0 | | 105=-7(-4m+5) | | y=(5-1)+3 | | 3/5b=-13 | | 3/7(w)=42 | | -7x-27+4x+5=5x+8 | | 18x2=15x | | 0.83=1.18^y+43 |

Equations solver categories