a=103a^2

Solution for a=103a^2 equation:

a=103a^2

We move all terms to the left:

a-(103a^2)=0

determiningTheFunctionDomain
-103a^2+a=0

a = -103; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·(-103)·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-1}{2*-103}=\frac{-2}{-206}
=1/103
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*-103}=\frac{0}{-206}
=0
$