X-10x^2=-375

Solution for X-10x^2=-375 equation:

X-10X^2=-375

We move all terms to the left:

X-10X^2-(-375)=0

We add all the numbers together, and all the variables

-10X^2+X+375=0

a = -10; b = 1; c = +375;
Δ = b2-4ac
Δ = 12-4·(-10)·375
Δ = 15001
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{15001}}{2*-10}=\frac{-1-\sqrt{15001}}{-20}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{15001}}{2*-10}=\frac{-1+\sqrt{15001}}{-20}
$