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(v+13)(v+7)=0
We multiply parentheses ..
(+v^2+7v+13v+91)=0
We get rid of parentheses
v^2+7v+13v+91=0
We add all the numbers together, and all the variables
v^2+20v+91=0
a = 1; b = 20; c = +91;
Δ = b2-4ac
Δ = 202-4·1·91
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{36}=6$$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(20)-6}{2*1}=\frac{-26}{2} =-13 $$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(20)+6}{2*1}=\frac{-14}{2} =-7 $
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