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

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



(4-v)(4v+5)=0
We add all the numbers together, and all the variables
(-1v+4)(4v+5)=0
We multiply parentheses ..
(-4v^2-5v+16v+20)=0
We get rid of parentheses
-4v^2-5v+16v+20=0
We add all the numbers together, and all the variables
-4v^2+11v+20=0
a = -4; b = 11; c = +20;
Δ = b2-4ac
Δ = 112-4·(-4)·20
Δ = 441
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{441}=21$
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(11)-21}{2*-4}=\frac{-32}{-8} =+4 $
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+21}{2*-4}=\frac{10}{-8} =-1+1/4 $

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