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(2x+14)(2x+14)=180
We move all terms to the left:
(2x+14)(2x+14)-(180)=0
We multiply parentheses ..
(+4x^2+28x+28x+196)-180=0
We get rid of parentheses
4x^2+28x+28x+196-180=0
We add all the numbers together, and all the variables
4x^2+56x+16=0
a = 4; b = 56; c = +16;
Δ = b2-4ac
Δ = 562-4·4·16
Δ = 2880
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{2880}=\sqrt{576*5}=\sqrt{576}*\sqrt{5}=24\sqrt{5}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(56)-24\sqrt{5}}{2*4}=\frac{-56-24\sqrt{5}}{8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(56)+24\sqrt{5}}{2*4}=\frac{-56+24\sqrt{5}}{8} $
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