16X-0.25X^2=320

Solution for 16X-0.25X^2=320 equation:

Simplifying
16X + -0.25X2 = 320

Solving
16X + -0.25X2 = 320

Solving for variable 'X'.

Reorder the terms:
-320 + 16X + -0.25X2 = 320 + -320

Combine like terms: 320 + -320 = 0
-320 + 16X + -0.25X2 = 0

Begin completing the square.  Divide all terms by
-0.25 the coefficient of the squared term: 

Divide each side by '-0.25'.
1280 + -64X + X2 = 0

Move the constant term to the right:

Add '-1280' to each side of the equation.
1280 + -64X + -1280 + X2 = 0 + -1280

Reorder the terms:
1280 + -1280 + -64X + X2 = 0 + -1280

Combine like terms: 1280 + -1280 = 0
0 + -64X + X2 = 0 + -1280
-64X + X2 = 0 + -1280

Combine like terms: 0 + -1280 = -1280
-64X + X2 = -1280

The X term is -64X.  Take half its coefficient (-32).
Square it (1024) and add it to both sides.

Add '1024' to each side of the equation.
-64X + 1024 + X2 = -1280 + 1024

Reorder the terms:
1024 + -64X + X2 = -1280 + 1024

Combine like terms: -1280 + 1024 = -256
1024 + -64X + X2 = -256

Factor a perfect square on the left side:
(X + -32)(X + -32) = -256

Can't calculate square root of the right side.

The solution to this equation could not be determined.