6x=3x*5x

Solution for 6x=3x*5x equation:

6x=3x*5x

We move all terms to the left:

6x-(3x*5x)=0

We add all the numbers together, and all the variables

6x-(+3x*5x)=0

We get rid of parentheses

6x-3x*5x=0

Wy multiply elements

-15x^2+6x=0

a = -15; b = 6; c = 0;
Δ = b2-4ac
Δ = 62-4·(-15)·0
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-6}{2*-15}=\frac{-12}{-30}
=2/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+6}{2*-15}=\frac{0}{-30}
=0
$