(X+15)3x+x=180

Solution for (X+15)3x+x=180 equation:

(X+15)3X+X=180

We move all terms to the left:

(X+15)3X+X-(180)=0

We add all the numbers together, and all the variables

X+(X+15)3X-180=0

We multiply parentheses

3X^2+X+45X-180=0

We add all the numbers together, and all the variables

3X^2+46X-180=0

a = 3; b = 46; c = -180;
Δ = b2-4ac
Δ = 462-4·3·(-180)
Δ = 4276
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:

$\sqrt{\Delta}=\sqrt{4276}=\sqrt{4*1069}=\sqrt{4}*\sqrt{1069}=2\sqrt{1069}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(46)-2\sqrt{1069}}{2*3}=\frac{-46-2\sqrt{1069}}{6}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(46)+2\sqrt{1069}}{2*3}=\frac{-46+2\sqrt{1069}}{6}
$