(x+3)*(x+7)=396

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Solution for (x+3)*(x+7)=396 equation:



(x+3)(x+7)=396
We move all terms to the left:
(x+3)(x+7)-(396)=0
We multiply parentheses ..
(+x^2+7x+3x+21)-396=0
We get rid of parentheses
x^2+7x+3x+21-396=0
We add all the numbers together, and all the variables
x^2+10x-375=0
a = 1; b = 10; c = -375;
Δ = b2-4ac
Δ = 102-4·1·(-375)
Δ = 1600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1600}=40$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-40}{2*1}=\frac{-50}{2} =-25 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+40}{2*1}=\frac{30}{2} =15 $

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