(2x+11)(2x+6)=0

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Solution for (2x+11)(2x+6)=0 equation:



(2x+11)(2x+6)=0
We multiply parentheses ..
(+4x^2+12x+22x+66)=0
We get rid of parentheses
4x^2+12x+22x+66=0
We add all the numbers together, and all the variables
4x^2+34x+66=0
a = 4; b = 34; c = +66;
Δ = b2-4ac
Δ = 342-4·4·66
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(34)-10}{2*4}=\frac{-44}{8} =-5+1/2 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(34)+10}{2*4}=\frac{-24}{8} =-3 $

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