5x^2=25-20x

Solution for 5x^2=25-20x equation:

5x^2=25-20x

We move all terms to the left:

5x^2-(25-20x)=0

We add all the numbers together, and all the variables

5x^2-(-20x+25)=0

We get rid of parentheses

5x^2+20x-25=0

a = 5; b = 20; c = -25;
Δ = b2-4ac
Δ = 202-4·5·(-25)
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(20)-30}{2*5}=\frac{-50}{10}
=-5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(20)+30}{2*5}=\frac{10}{10}
=1
$