25x(x-25)=-4

Solution for 25x(x-25)=-4 equation:

25x(x-25)=-4

We move all terms to the left:

25x(x-25)-(-4)=0

We add all the numbers together, and all the variables

25x(x-25)+4=0

We multiply parentheses

25x^2-625x+4=0

a = 25; b = -625; c = +4;
Δ = b2-4ac
Δ = -6252-4·25·4
Δ = 390225
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:

$\sqrt{\Delta}=\sqrt{390225}=\sqrt{3025*129}=\sqrt{3025}*\sqrt{129}=55\sqrt{129}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-625)-55\sqrt{129}}{2*25}=\frac{625-55\sqrt{129}}{50}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-625)+55\sqrt{129}}{2*25}=\frac{625+55\sqrt{129}}{50}
$