X+25x^2+50=1500

Solution for X+25x^2+50=1500 equation:

X+25X^2+50=1500

We move all terms to the left:

X+25X^2+50-(1500)=0

We add all the numbers together, and all the variables

25X^2+X-1450=0

a = 25; b = 1; c = -1450;
Δ = b2-4ac
Δ = 12-4·25·(-1450)
Δ = 145001
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{145001}}{2*25}=\frac{-1-\sqrt{145001}}{50}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{145001}}{2*25}=\frac{-1+\sqrt{145001}}{50}
$