X(-12)x=-25

Solution for X(-12)x=-25 equation:

X(-12)X=-25

We move all terms to the left:

X(-12)X-(-25)=0

We add all the numbers together, and all the variables

X(-12)X+25=0

We multiply parentheses

-12X^2+25=0

a = -12; b = 0; c = +25;
Δ = b2-4ac
Δ = 02-4·(-12)·25
Δ = 1200
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:

$\sqrt{\Delta}=\sqrt{1200}=\sqrt{400*3}=\sqrt{400}*\sqrt{3}=20\sqrt{3}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-20\sqrt{3}}{2*-12}=\frac{0-20\sqrt{3}}{-24}
=-\frac{20\sqrt{3}}{-24}
=-\frac{5\sqrt{3}}{-6}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+20\sqrt{3}}{2*-12}=\frac{0+20\sqrt{3}}{-24}
=\frac{20\sqrt{3}}{-24}
=\frac{5\sqrt{3}}{-6}
$