0.133355-0.895x=x^2

Solution for 0.133355-0.895x=x^2 equation:

0.133355-0.895x=x^2

We move all terms to the left:

0.133355-0.895x-(x^2)=0

determiningTheFunctionDomain
-x^2-0.895x+0.133355=0

We add all the numbers together, and all the variables

-1x^2-0.895x+0.133355=0

a = -1; b = -0.895; c = +0.133355;
Δ = b2-4ac
Δ = -0.8952-4·(-1)·0.133355
Δ = 1.334445
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{-(-0.895)-\sqrt{1.334445}}{2*-1}=\frac{0.895-\sqrt{1.334445}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.895)+\sqrt{1.334445}}{2*-1}=\frac{0.895+\sqrt{1.334445}}{-2}
$