300-(150x2)=X

Solution for 300-(150x2)=X equation:

300-(150x^2)=x

We move all terms to the left:

300-(150x^2)-(x)=0

We add all the numbers together, and all the variables

-150x^2-1x+300=0

a = -150; b = -1; c = +300;
Δ = b2-4ac
Δ = -12-4·(-150)·300
Δ = 180001
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-\sqrt{180001}}{2*-150}=\frac{1-\sqrt{180001}}{-300}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{180001}}{2*-150}=\frac{1+\sqrt{180001}}{-300}
$