6x-36+3x^2=0

Solution for 6x-36+3x^2=0 equation:

6x-36+3x^2=0

a = 3; b = 6; c = -36;
Δ = b2-4ac
Δ = 62-4·3·(-36)
Δ = 468
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:

$\sqrt{\Delta}=\sqrt{468}=\sqrt{36*13}=\sqrt{36}*\sqrt{13}=6\sqrt{13}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-6\sqrt{13}}{2*3}=\frac{-6-6\sqrt{13}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+6\sqrt{13}}{2*3}=\frac{-6+6\sqrt{13}}{6}
$