3x/5=3x^2

Solution for 3x/5=3x^2 equation:

3x/5=3x^2

We move all terms to the left:

3x/5-(3x^2)=0

determiningTheFunctionDomain
-3x^2+3x/5=0

We multiply all the terms by the denominator


-3x^2*5+3x=0

Wy multiply elements

-15x^2+3x=0

a = -15; b = 3; c = 0;
Δ = b2-4ac
Δ = 32-4·(-15)·0
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-3}{2*-15}=\frac{-6}{-30}
=1/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+3}{2*-15}=\frac{0}{-30}
=0
$