2.5x-0.25x^2-16=0

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Solution for 2.5x-0.25x^2-16=0 equation:


Simplifying
2.5x + -0.25x2 + -16 = 0

Reorder the terms:
-16 + 2.5x + -0.25x2 = 0

Solving
-16 + 2.5x + -0.25x2 = 0

Solving for variable 'x'.

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

Divide each side by '-0.25'.
64 + -10x + x2 = 0

Move the constant term to the right:

Add '-64' to each side of the equation.
64 + -10x + -64 + x2 = 0 + -64

Reorder the terms:
64 + -64 + -10x + x2 = 0 + -64

Combine like terms: 64 + -64 = 0
0 + -10x + x2 = 0 + -64
-10x + x2 = 0 + -64

Combine like terms: 0 + -64 = -64
-10x + x2 = -64

The x term is -10x.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10x + 25 + x2 = -64 + 25

Reorder the terms:
25 + -10x + x2 = -64 + 25

Combine like terms: -64 + 25 = -39
25 + -10x + x2 = -39

Factor a perfect square on the left side:
(x + -5)(x + -5) = -39

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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