12x^2=1200

Solution for 12x^2=1200 equation:

12x^2=1200

We move all terms to the left:

12x^2-(1200)=0

a = 12; b = 0; c = -1200;
Δ = b2-4ac
Δ = 02-4·12·(-1200)
Δ = 57600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{57600}=240$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-240}{2*12}=\frac{-240}{24}
=-10
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+240}{2*12}=\frac{240}{24}
=10
$