(u+9)(u+2)=0

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Solution for (u+9)(u+2)=0 equation:



(u+9)(u+2)=0
We multiply parentheses ..
(+u^2+2u+9u+18)=0
We get rid of parentheses
u^2+2u+9u+18=0
We add all the numbers together, and all the variables
u^2+11u+18=0
a = 1; b = 11; c = +18;
Δ = b2-4ac
Δ = 112-4·1·18
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{49}=7$
$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(11)-7}{2*1}=\frac{-18}{2} =-9 $
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+7}{2*1}=\frac{-4}{2} =-2 $

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