10a^2-20a=10a

Solution for 10a^2-20a=10a equation:

10a^2-20a=10a

We move all terms to the left:

10a^2-20a-(10a)=0

We add all the numbers together, and all the variables

10a^2-30a=0

a = 10; b = -30; c = 0;
Δ = b2-4ac
Δ = -302-4·10·0
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-30}{2*10}=\frac{0}{20}
=0
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+30}{2*10}=\frac{60}{20}
=3
$