-(5v+3)(v-5)=0

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Solution for -(5v+3)(v-5)=0 equation:



-(5v+3)(v-5)=0
We multiply parentheses ..
-(+5v^2-25v+3v-15)=0
We get rid of parentheses
-5v^2+25v-3v+15=0
We add all the numbers together, and all the variables
-5v^2+22v+15=0
a = -5; b = 22; c = +15;
Δ = b2-4ac
Δ = 222-4·(-5)·15
Δ = 784
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{784}=28$
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(22)-28}{2*-5}=\frac{-50}{-10} =+5 $
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(22)+28}{2*-5}=\frac{6}{-10} =-3/5 $

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