X+12x2=36

Solution for X+12x2=36 equation:

X+12X^2=36

We move all terms to the left:

X+12X^2-(36)=0

a = 12; b = 1; c = -36;
Δ = b2-4ac
Δ = 12-4·12·(-36)
Δ = 1729
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{1729}}{2*12}=\frac{-1-\sqrt{1729}}{24}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{1729}}{2*12}=\frac{-1+\sqrt{1729}}{24}
$