3(X-2)(x+3=0)

Solution for 3(X-2)(x+3=0) equation:

3(X-2)(X+3=0)

We move all terms to the left:

3(X-2)(X+3-(0))=0

We add all the numbers together, and all the variables

3(X-2)(X+3)=0

We multiply parentheses ..

3(+X^2+3X-2X-6)=0

We multiply parentheses

3X^2+9X-6X-18=0

We add all the numbers together, and all the variables

3X^2+3X-18=0

a = 3; b = 3; c = -18;
Δ = b2-4ac
Δ = 32-4·3·(-18)
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{-(3)-15}{2*3}=\frac{-18}{6}
=-3
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+15}{2*3}=\frac{12}{6}
=2
$