2.4x-0.1x^2=800

Solution for 2.4x-0.1x^2=800 equation:

Simplifying
2.4x + -0.1x2 = 800

Solving
2.4x + -0.1x2 = 800

Solving for variable 'x'.

Reorder the terms:
-800 + 2.4x + -0.1x2 = 800 + -800

Combine like terms: 800 + -800 = 0
-800 + 2.4x + -0.1x2 = 0

Begin completing the square.  Divide all terms by
-0.1 the coefficient of the squared term: 

Divide each side by '-0.1'.
8000 + -24x + x2 = 0

Move the constant term to the right:

Add '-8000' to each side of the equation.
8000 + -24x + -8000 + x2 = 0 + -8000

Reorder the terms:
8000 + -8000 + -24x + x2 = 0 + -8000

Combine like terms: 8000 + -8000 = 0
0 + -24x + x2 = 0 + -8000
-24x + x2 = 0 + -8000

Combine like terms: 0 + -8000 = -8000
-24x + x2 = -8000

The x term is -24x.  Take half its coefficient (-12).
Square it (144) and add it to both sides.

Add '144' to each side of the equation.
-24x + 144 + x2 = -8000 + 144

Reorder the terms:
144 + -24x + x2 = -8000 + 144

Combine like terms: -8000 + 144 = -7856
144 + -24x + x2 = -7856

Factor a perfect square on the left side:
(x + -12)(x + -12) = -7856

Can't calculate square root of the right side.

The solution to this equation could not be determined.