-364.45=-364x+64x^2

Solution for -364.45=-364x+64x^2 equation:

-364.45=-364x+64x^2

We move all terms to the left:

-364.45-(-364x+64x^2)=0

We get rid of parentheses

-64x^2+364x-364.45=0

a = -64; b = 364; c = -364.45;
Δ = b2-4ac
Δ = 3642-4·(-64)·(-364.45)
Δ = 39196.8
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{-(364)-\sqrt{39196.8}}{2*-64}=\frac{-364-\sqrt{39196.8}}{-128}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(364)+\sqrt{39196.8}}{2*-64}=\frac{-364+\sqrt{39196.8}}{-128}
$