0=-32x^2/150^2+2

Solution for 0=-32x^2/150^2+2 equation:

0=-32x^2/150^2+2

We move all terms to the left:

0-(-32x^2/150^2+2)=0

We add all the numbers together, and all the variables

-(-32x^2/150^2+2)=0

We get rid of parentheses

32x^2/150^2-2=0

We multiply all the terms by the denominator


32x^2-2*150^2=0

We add all the numbers together, and all the variables

32x^2-45000=0

a = 32; b = 0; c = -45000;
Δ = b2-4ac
Δ = 02-4·32·(-45000)
Δ = 5760000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5760000}=2400$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2400}{2*32}=\frac{-2400}{64}
=-37+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2400}{2*32}=\frac{2400}{64}
=37+1/2
$