25x(x+1)=-

Solution for 25x(x+1)=- equation:

25x(x+1)=-

We move all terms to the left:

25x(x+1)-(-)=0

We add all the numbers together, and all the variables

25x(x+1)-0=0

We add all the numbers together, and all the variables

25x(x+1)=0

We multiply parentheses

25x^2+25x=0

a = 25; b = 25; c = 0;
Δ = b2-4ac
Δ = 252-4·25·0
Δ = 625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{625}=25$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(25)-25}{2*25}=\frac{-50}{50}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(25)+25}{2*25}=\frac{0}{50}
=0
$