5x^2-60x=-20

Solution for 5x^2-60x=-20 equation:

5x^2-60x=-20

We move all terms to the left:

5x^2-60x-(-20)=0

We add all the numbers together, and all the variables

5x^2-60x+20=0

a = 5; b = -60; c = +20;
Δ = b2-4ac
Δ = -602-4·5·20
Δ = 3200
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:

$\sqrt{\Delta}=\sqrt{3200}=\sqrt{1600*2}=\sqrt{1600}*\sqrt{2}=40\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-40\sqrt{2}}{2*5}=\frac{60-40\sqrt{2}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+40\sqrt{2}}{2*5}=\frac{60+40\sqrt{2}}{10}
$