5x^2=20x-5

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

5x^2=20x-5

We move all terms to the left:

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

We get rid of parentheses

5x^2-20x+5=0

a = 5; b = -20; c = +5;
Δ = b2-4ac
Δ = -202-4·5·5
Δ = 300
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:

$\sqrt{\Delta}=\sqrt{300}=\sqrt{100*3}=\sqrt{100}*\sqrt{3}=10\sqrt{3}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-20)-10\sqrt{3}}{2*5}=\frac{20-10\sqrt{3}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-20)+10\sqrt{3}}{2*5}=\frac{20+10\sqrt{3}}{10}
$