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

Solution for -3x(5x-6)=3x equation:

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

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We multiply parentheses

-15x^2-3x+18x=0

We add all the numbers together, and all the variables

-15x^2+15x=0

a = -15; b = 15; c = 0;
Δ = b2-4ac
Δ = 152-4·(-15)·0
Δ = 225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{225}=15$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(15)-15}{2*-15}=\frac{-30}{-30}
=1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+15}{2*-15}=\frac{0}{-30}
=0
$