2x+(12x^2)=360

Solution for 2x+(12x^2)=360 equation:

2x+(12x^2)=360

We move all terms to the left:

2x+(12x^2)-(360)=0

determiningTheFunctionDomain
12x^2+2x-360=0

a = 12; b = 2; c = -360;
Δ = b2-4ac
Δ = 22-4·12·(-360)
Δ = 17284
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:

$\sqrt{\Delta}=\sqrt{17284}=\sqrt{4*4321}=\sqrt{4}*\sqrt{4321}=2\sqrt{4321}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2\sqrt{4321}}{2*12}=\frac{-2-2\sqrt{4321}}{24}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2\sqrt{4321}}{2*12}=\frac{-2+2\sqrt{4321}}{24}
$