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(2x+10)(2x+10)=16
We move all terms to the left:
(2x+10)(2x+10)-(16)=0
We multiply parentheses ..
(+4x^2+20x+20x+100)-16=0
We get rid of parentheses
4x^2+20x+20x+100-16=0
We add all the numbers together, and all the variables
4x^2+40x+84=0
a = 4; b = 40; c = +84;
Δ = b2-4ac
Δ = 402-4·4·84
Δ = 256
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{256}=16$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(40)-16}{2*4}=\frac{-56}{8} =-7 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(40)+16}{2*4}=\frac{-24}{8} =-3 $
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