-15x2=-375

Solution for -15x2=-375 equation:

-15x^2=-375

We move all terms to the left:

-15x^2-(-375)=0

We add all the numbers together, and all the variables

-15x^2+375=0

a = -15; b = 0; c = +375;
Δ = b2-4ac
Δ = 02-4·(-15)·375
Δ = 22500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{22500}=150$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-150}{2*-15}=\frac{-150}{-30}
=+5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+150}{2*-15}=\frac{150}{-30}
=-5
$