1050=(x-12)(x+18)(6)

Solution for 1050=(x-12)(x+18)(6) equation:

1050=(x-12)(x+18)(6)

We move all terms to the left:

1050-((x-12)(x+18)(6))=0

We multiply parentheses ..

-((+x^2+18x-12x-216)6)+1050=0


We calculate terms in parentheses: -((+x^2+18x-12x-216)6), so:

(+x^2+18x-12x-216)6

We multiply parentheses

6x^2+108x-72x-1296

We add all the numbers together, and all the variables

6x^2+36x-1296

Back to the equation:

-(6x^2+36x-1296)


We get rid of parentheses

-6x^2-36x+1296+1050=0

We add all the numbers together, and all the variables

-6x^2-36x+2346=0

a = -6; b = -36; c = +2346;
Δ = b2-4ac
Δ = -362-4·(-6)·2346
Δ = 57600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{57600}=240$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-36)-240}{2*-6}=\frac{-204}{-12}
=+17
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-36)+240}{2*-6}=\frac{276}{-12}
=-23
$