3x(x-3)=3-9x

Solution for 3x(x-3)=3-9x equation:

3x(x-3)=3-9x

We move all terms to the left:

3x(x-3)-(3-9x)=0

We add all the numbers together, and all the variables

3x(x-3)-(-9x+3)=0

We multiply parentheses

3x^2-9x-(-9x+3)=0

We get rid of parentheses

3x^2-9x+9x-3=0

We add all the numbers together, and all the variables

3x^2-3=0

a = 3; b = 0; c = -3;
Δ = b2-4ac
Δ = 02-4·3·(-3)
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{-(0)-6}{2*3}=\frac{-6}{6}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6}{2*3}=\frac{6}{6}
=1
$