4x+20x^2=-

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

4x+20x^2=-

We move all terms to the left:

4x+20x^2-(-)=0

We add all the numbers together, and all the variables

20x^2+4x-0=0

We add all the numbers together, and all the variables

20x^2+4x=0

a = 20; b = 4; c = 0;
Δ = b2-4ac
Δ = 42-4·20·0
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-4}{2*20}=\frac{-8}{40}
=-1/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+4}{2*20}=\frac{0}{40}
=0
$