4x^2+120x=0

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Solution for 4x^2+120x=0 equation: 



4x^2+120x=0

a = 4; b = 120; c = 0;
Δ = b2-4ac
Δ = 1202-4·4·0
Δ = 14400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{14400}=120$


$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(120)-120}{2*4}=\frac{-240}{8}
=-30
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(120)+120}{2*4}=\frac{0}{8}
=0
$

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