x+15=12x2

Solution for x+15=12x2 equation:

x+15=12x^2

We move all terms to the left:

x+15-(12x^2)=0

determiningTheFunctionDomain
-12x^2+x+15=0

a = -12; b = 1; c = +15;
Δ = b2-4ac
Δ = 12-4·(-12)·15
Δ = 721
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{721}}{2*-12}=\frac{-1-\sqrt{721}}{-24}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{721}}{2*-12}=\frac{-1+\sqrt{721}}{-24}
$