50+25x=25x2

Solution for 50+25x=25x2 equation:

50+25x=25x^2

We move all terms to the left:

50+25x-(25x^2)=0

determiningTheFunctionDomain
-25x^2+25x+50=0

a = -25; b = 25; c = +50;
Δ = b2-4ac
Δ = 252-4·(-25)·50
Δ = 5625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5625}=75$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(25)-75}{2*-25}=\frac{-100}{-50}
=+2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(25)+75}{2*-25}=\frac{50}{-50}
=-1
$