(x2+30)+(x2+30)+x=180

Solution for (x2+30)+(x2+30)+x=180 equation:

(x2+30)+(x2+30)+x=180

We move all terms to the left:

(x2+30)+(x2+30)+x-(180)=0

We add all the numbers together, and all the variables

(+x^2+30)+(+x^2+30)+x-180=0

We get rid of parentheses

x^2+x^2+x+30+30-180=0

We add all the numbers together, and all the variables

2x^2+x-120=0

a = 2; b = 1; c = -120;
Δ = b2-4ac
Δ = 12-4·2·(-120)
Δ = 961
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{961}=31$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-31}{2*2}=\frac{-32}{4}
=-8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+31}{2*2}=\frac{30}{4}
=7+1/2
$