4x^2+46x=0

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Solution for 4x^2+46x=0 equation: 



4x^2+46x=0

a = 4; b = 46; c = 0;
Δ = b2-4ac
Δ = 462-4·4·0
Δ = 2116
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2116}=46$


$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(46)-46}{2*4}=\frac{-92}{8}
=-11+1/2
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(46)+46}{2*4}=\frac{0}{8}
=0
$

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