12x2=300

Solution for 12x2=300 equation:

12x^2=300

We move all terms to the left:

12x^2-(300)=0

a = 12; b = 0; c = -300;
Δ = b2-4ac
Δ = 02-4·12·(-300)
Δ = 14400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{14400}=120$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-120}{2*12}=\frac{-120}{24}
=-5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+120}{2*12}=\frac{120}{24}
=5
$