(10/3)*x=180

Solution for (10/3)*x=180 equation:

(10/3)*x=180

We move all terms to the left:

(10/3)*x-(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

(+10/3)*x-180=0

We multiply parentheses

10x^2-180=0

a = 10; b = 0; c = -180;
Δ = b2-4ac
Δ = 02-4·10·(-180)
Δ = 7200
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:

$\sqrt{\Delta}=\sqrt{7200}=\sqrt{3600*2}=\sqrt{3600}*\sqrt{2}=60\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-60\sqrt{2}}{2*10}=\frac{0-60\sqrt{2}}{20}
=-\frac{60\sqrt{2}}{20}
=-3\sqrt{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+60\sqrt{2}}{2*10}=\frac{0+60\sqrt{2}}{20}
=\frac{60\sqrt{2}}{20}
=3\sqrt{2}
$