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(x+6)(x-4)(2)=832
We move all terms to the left:
(x+6)(x-4)(2)-(832)=0
We multiply parentheses ..
(+x^2-4x+6x-24)2-832=0
We multiply parentheses
2x^2-8x+12x-48-832=0
We add all the numbers together, and all the variables
2x^2+4x-880=0
a = 2; b = 4; c = -880;
Δ = b2-4ac
Δ = 42-4·2·(-880)
Δ = 7056
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{7056}=84$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-84}{2*2}=\frac{-88}{4} =-22 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+84}{2*2}=\frac{80}{4} =20 $
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