0=150x^2+x

Solution for 0=150x^2+x equation:

0=150x^2+x

We move all terms to the left:

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

We add all the numbers together, and all the variables

-(150x^2+x)=0

We get rid of parentheses

-150x^2-x=0

We add all the numbers together, and all the variables

-150x^2-1x=0

a = -150; b = -1; c = 0;
Δ = b2-4ac
Δ = -12-4·(-150)·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-1}{2*-150}=\frac{0}{-300}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+1}{2*-150}=\frac{2}{-300}
=-1/150
$