(5v+8)(1-v)=0

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Solution for (5v+8)(1-v)=0 equation:



(5v+8)(1-v)=0
We add all the numbers together, and all the variables
(5v+8)(-1v+1)=0
We multiply parentheses ..
(-5v^2+5v-8v+8)=0
We get rid of parentheses
-5v^2+5v-8v+8=0
We add all the numbers together, and all the variables
-5v^2-3v+8=0
a = -5; b = -3; c = +8;
Δ = b2-4ac
Δ = -32-4·(-5)·8
Δ = 169
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{169}=13$
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-13}{2*-5}=\frac{-10}{-10} =1 $
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+13}{2*-5}=\frac{16}{-10} =-1+3/5 $

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