4332=(x+120)(x-3)

Solution for 4332=(x+120)(x-3) equation:

4332=(x+120)(x-3)

We move all terms to the left:

4332-((x+120)(x-3))=0

We multiply parentheses ..

-((+x^2-3x+120x-360))+4332=0


We calculate terms in parentheses: -((+x^2-3x+120x-360)), so:

(+x^2-3x+120x-360)

We get rid of parentheses

x^2-3x+120x-360

We add all the numbers together, and all the variables

x^2+117x-360

Back to the equation:

-(x^2+117x-360)


We get rid of parentheses

-x^2-117x+360+4332=0

We add all the numbers together, and all the variables

-1x^2-117x+4692=0

a = -1; b = -117; c = +4692;
Δ = b2-4ac
Δ = -1172-4·(-1)·4692
Δ = 32457
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-117)-\sqrt{32457}}{2*-1}=\frac{117-\sqrt{32457}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-117)+\sqrt{32457}}{2*-1}=\frac{117+\sqrt{32457}}{-2}
$