7x(2+2x)=84

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Solution for 7x(2+2x)=84 equation:



7x(2+2x)=84
We move all terms to the left:
7x(2+2x)-(84)=0
We add all the numbers together, and all the variables
7x(2x+2)-84=0
We multiply parentheses
14x^2+14x-84=0
a = 14; b = 14; c = -84;
Δ = b2-4ac
Δ = 142-4·14·(-84)
Δ = 4900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4900}=70$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-70}{2*14}=\frac{-84}{28} =-3 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+70}{2*14}=\frac{56}{28} =2 $

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