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(x+11)(x+7)=0
We multiply parentheses ..
(+x^2+7x+11x+77)=0
We get rid of parentheses
x^2+7x+11x+77=0
We add all the numbers together, and all the variables
x^2+18x+77=0
a = 1; b = 18; c = +77;
Δ = b2-4ac
Δ = 182-4·1·77
Δ = 16
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{16}=4$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(18)-4}{2*1}=\frac{-22}{2} =-11 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(18)+4}{2*1}=\frac{-14}{2} =-7 $
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