(2/3)x+3+2x+1=180

Solution for (2/3)x+3+2x+1=180 equation:

(2/3)x+3+2x+1=180

We move all terms to the left:

(2/3)x+3+2x+1-(180)=0


Domain of the equation: 3)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+2/3)x+2x+3+1-180=0

We add all the numbers together, and all the variables

2x+(+2/3)x-176=0

We multiply parentheses

2x^2+2x-176=0

a = 2; b = 2; c = -176;
Δ = b2-4ac
Δ = 22-4·2·(-176)
Δ = 1412
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:

$\sqrt{\Delta}=\sqrt{1412}=\sqrt{4*353}=\sqrt{4}*\sqrt{353}=2\sqrt{353}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2\sqrt{353}}{2*2}=\frac{-2-2\sqrt{353}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2\sqrt{353}}{2*2}=\frac{-2+2\sqrt{353}}{4}
$