10a-2a=2a*a

Solution for 10a-2a=2a*a equation:

10a-2a=2a*a

We move all terms to the left:

10a-2a-(2a*a)=0

We add all the numbers together, and all the variables

10a-2a-(+2a*a)=0

We add all the numbers together, and all the variables

8a-(+2a*a)=0

We get rid of parentheses

8a-2a*a=0

Wy multiply elements

-2a^2+8a=0

a = -2; b = 8; c = 0;
Δ = b2-4ac
Δ = 82-4·(-2)·0
Δ = 64
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{64}=8$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-8}{2*-2}=\frac{-16}{-4}
=+4
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+8}{2*-2}=\frac{0}{-4}
=0
$