4/3x+7+8x+2=180

Solution for 4/3x+7+8x+2=180 equation:

4/3x+7+8x+2=180

We move all terms to the left:

4/3x+7+8x+2-(180)=0


Domain of the equation: 3x!=0

x!=0/3

x!=0

x∈R


We add all the numbers together, and all the variables

8x+4/3x-171=0

We multiply all the terms by the denominator


8x*3x-171*3x+4=0

Wy multiply elements

24x^2-513x+4=0

a = 24; b = -513; c = +4;
Δ = b2-4ac
Δ = -5132-4·24·4
Δ = 262785
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{-(-513)-\sqrt{262785}}{2*24}=\frac{513-\sqrt{262785}}{48}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-513)+\sqrt{262785}}{2*24}=\frac{513+\sqrt{262785}}{48}
$