X^2=364-12x

Solution for X^2=364-12x equation:

X^2=364-12X

We move all terms to the left:

X^2-(364-12X)=0

We add all the numbers together, and all the variables

X^2-(-12X+364)=0

We get rid of parentheses

X^2+12X-364=0

a = 1; b = 12; c = -364;
Δ = b2-4ac
Δ = 122-4·1·(-364)
Δ = 1600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1600}=40$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-40}{2*1}=\frac{-52}{2}
=-26
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+40}{2*1}=\frac{28}{2}
=14
$