100x=3x^2

Solution for 100x=3x^2 equation:

100x=3x^2

We move all terms to the left:

100x-(3x^2)=0

determiningTheFunctionDomain
-3x^2+100x=0

a = -3; b = 100; c = 0;
Δ = b2-4ac
Δ = 1002-4·(-3)·0
Δ = 10000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10000}=100$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(100)-100}{2*-3}=\frac{-200}{-6}
=33+1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(100)+100}{2*-3}=\frac{0}{-6}
=0
$