(0.25x^2)+x=0

Solution for (0.25x^2)+x=0 equation:

(0.25x^2)+x=0

We add all the numbers together, and all the variables

x+(0.25x^2)=0

We get rid of parentheses

0.25x^2+x=0

a = 0.25; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·0.25·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-1}{2*0.25}=\frac{-2}{0.5}
=-4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*0.25}=\frac{0}{0.5}
=0
$