2.5x^2=640

Solution for 2.5x^2=640 equation:

2.5x^2=640

We move all terms to the left:

2.5x^2-(640)=0

a = 2.5; b = 0; c = -640;
Δ = b2-4ac
Δ = 02-4·2.5·(-640)
Δ = 6400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6400}=80$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-80}{2*2.5}=\frac{-80}{5}
=-16
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+80}{2*2.5}=\frac{80}{5}
=16
$