798=(2x+2)(x-1)

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Solution for 798=(2x+2)(x-1) equation:



798=(2x+2)(x-1)
We move all terms to the left:
798-((2x+2)(x-1))=0
We multiply parentheses ..
-((+2x^2-2x+2x-2))+798=0
We calculate terms in parentheses: -((+2x^2-2x+2x-2)), so:
(+2x^2-2x+2x-2)
We get rid of parentheses
2x^2-2x+2x-2
We add all the numbers together, and all the variables
2x^2-2
Back to the equation:
-(2x^2-2)
We get rid of parentheses
-2x^2+2+798=0
We add all the numbers together, and all the variables
-2x^2+800=0
a = -2; b = 0; c = +800;
Δ = b2-4ac
Δ = 02-4·(-2)·800
Δ = 6400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6400}=80$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-80}{2*-2}=\frac{-80}{-4} =+20 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+80}{2*-2}=\frac{80}{-4} =-20 $

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