0-20x-4x^2=0

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Solution for 0-20x-4x^2=0 equation:



0-20x-4x^2=0
We add all the numbers together, and all the variables
-4x^2-20x=0
a = -4; b = -20; c = 0;
Δ = b2-4ac
Δ = -202-4·(-4)·0
Δ = 400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{400}=20$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-20)-20}{2*-4}=\frac{0}{-8} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-20)+20}{2*-4}=\frac{40}{-8} =-5 $

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