80+x+x+1/3x=570

Simple and best practice solution for 80+x+x+1/3x=570 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 80+x+x+1/3x=570 equation: 



80+x+x+1/3x=570

We move all terms to the left:

80+x+x+1/3x-(570)=0



Domain of the equation: 3x!=0

x!=0/3

x!=0

x∈R



We add all the numbers together, and all the variables

2x+1/3x-490=0

We multiply all the terms by the denominator


2x*3x-490*3x+1=0

Wy multiply elements

6x^2-1470x+1=0

a = 6; b = -1470; c = +1;
Δ = b2-4ac
Δ = -14702-4·6·1
Δ = 2160876
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:


$\sqrt{\Delta}=\sqrt{2160876}=\sqrt{4*540219}=\sqrt{4}*\sqrt{540219}=2\sqrt{540219}$


$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1470)-2\sqrt{540219}}{2*6}=\frac{1470-2\sqrt{540219}}{12}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1470)+2\sqrt{540219}}{2*6}=\frac{1470+2\sqrt{540219}}{12}
$

See similar equations:

| 4.5x=4.5x-6.25+6.25 | | 2(t-7)=8 | | 2x+2=8/2 | | -39=-14-5r | | 2w^2-15w+25=0 | | 5t^2+7t=24 | | 36=6^(5x+3) | | 1.2(2+3r)=0.8(2r+5) | | x-8=-^11= | | 0.7452(3k-1)=3.94956 | | x-8=-^11 | | n+27/3=15 | | 2(y+1)=4(4-25y) | | 5(2x+6=−4(−5−2x)+4x | | 3(2p-1)=4(22-p) | | 5(2x+6)=x | | 5(2x+6)=−4(−5−2x)+4x | | b/9=5/4 | | 3/4q-1/9=1/3+1/4q | | 57-89=11x+12 | | k/6=10/8 | | 52.5+x=180 | | 24=8(x-5)-(1-5x | | 5n+39=-1 | | 11y-2=y+9/y=3/5 | | 4(4+8)=3(y+14) | | 6(3x+5)+2x=90 | | .05x=216 | | y=-6-15 | | -7(x+3)=-7x+20 | | ?x20=70 | | (X+2)(x)-9x=30 |

Equations solver categories