x+(2/3)x+90=180

Solution for x+(2/3)x+90=180 equation:

x+(2/3)x+90=180

We move all terms to the left:

x+(2/3)x+90-(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

x+(+2/3)x+90-180=0

We add all the numbers together, and all the variables

x+(+2/3)x-90=0

We multiply parentheses

2x^2+x-90=0

a = 2; b = 1; c = -90;
Δ = b2-4ac
Δ = 12-4·2·(-90)
Δ = 721
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{-(1)-\sqrt{721}}{2*2}=\frac{-1-\sqrt{721}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{721}}{2*2}=\frac{-1+\sqrt{721}}{4}
$