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

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

(X+3)(X-3)=3X-9

We move all terms to the left:

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

We use the square of the difference formula

X^2-(3X-9)-9=0

We get rid of parentheses

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

We add all the numbers together, and all the variables

X^2-3X=0

a = 1; b = -3; c = 0;
Δ = b2-4ac
Δ = -32-4·1·0
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*1}=\frac{0}{2}
=0
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+3}{2*1}=\frac{6}{2}
=3
$