(3-v)(2v-1)=0

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Solution for (3-v)(2v-1)=0 equation:



(3-v)(2v-1)=0
We add all the numbers together, and all the variables
(-1v+3)(2v-1)=0
We multiply parentheses ..
(-2v^2+v+6v-3)=0
We get rid of parentheses
-2v^2+v+6v-3=0
We add all the numbers together, and all the variables
-2v^2+7v-3=0
a = -2; b = 7; c = -3;
Δ = b2-4ac
Δ = 72-4·(-2)·(-3)
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-5}{2*-2}=\frac{-12}{-4} =+3 $
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+5}{2*-2}=\frac{-2}{-4} =1/2 $

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