(4-v)(2v+5)=0

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Solution for (4-v)(2v+5)=0 equation:



(4-v)(2v+5)=0
We add all the numbers together, and all the variables
(-1v+4)(2v+5)=0
We multiply parentheses ..
(-2v^2-5v+8v+20)=0
We get rid of parentheses
-2v^2-5v+8v+20=0
We add all the numbers together, and all the variables
-2v^2+3v+20=0
a = -2; b = 3; c = +20;
Δ = b2-4ac
Δ = 32-4·(-2)·20
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*-2}=\frac{-16}{-4} =+4 $
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+13}{2*-2}=\frac{10}{-4} =-2+1/2 $

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