9x-3x(x=5)=3(x-1)

Solution for 9x-3x(x=5)=3(x-1) equation:

9x-3x(x=5)=3(x-1)

We move all terms to the left:

9x-3x(x-(5))=0

We multiply parentheses

-3x^2+9x+15x=0

We add all the numbers together, and all the variables

-3x^2+24x=0

a = -3; b = 24; c = 0;
Δ = b2-4ac
Δ = 242-4·(-3)·0
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(24)-24}{2*-3}=\frac{-48}{-6}
=+8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24)+24}{2*-3}=\frac{0}{-6}
=0
$