44500=-15+10n-0.2n^2

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Solution for 44500=-15+10n-0.2n^2 equation: 


Simplifying
44500 = -15 + 10n + -0.2n2

Solving
44500 = -15 + 10n + -0.2n2

Solving for variable 'n'.

Combine like terms: 44500 + 15 = 44515
44515 + -10n + 0.2n2 = -15 + 10n + -0.2n2 + 15 + -10n + 0.2n2

Reorder the terms:
44515 + -10n + 0.2n2 = -15 + 15 + 10n + -10n + -0.2n2 + 0.2n2

Combine like terms: -15 + 15 = 0
44515 + -10n + 0.2n2 = 0 + 10n + -10n + -0.2n2 + 0.2n2
44515 + -10n + 0.2n2 = 10n + -10n + -0.2n2 + 0.2n2

Combine like terms: 10n + -10n = 0
44515 + -10n + 0.2n2 = 0 + -0.2n2 + 0.2n2
44515 + -10n + 0.2n2 = -0.2n2 + 0.2n2

Combine like terms: -0.2n2 + 0.2n2 = 0.0
44515 + -10n + 0.2n2 = 0.0

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

Divide each side by '0.2'.
222575 + -50n + n2 = 0

Move the constant term to the right:

Add '-222575' to each side of the equation.
222575 + -50n + -222575 + n2 = 0 + -222575

Reorder the terms:
222575 + -222575 + -50n + n2 = 0 + -222575

Combine like terms: 222575 + -222575 = 0
0 + -50n + n2 = 0 + -222575
-50n + n2 = 0 + -222575

Combine like terms: 0 + -222575 = -222575
-50n + n2 = -222575

The n term is -50n.  Take half its coefficient (-25).
Square it (625) and add it to both sides.

Add '625' to each side of the equation.
-50n + 625 + n2 = -222575 + 625

Reorder the terms:
625 + -50n + n2 = -222575 + 625

Combine like terms: -222575 + 625 = -221950
625 + -50n + n2 = -221950

Factor a perfect square on the left side:
(n + -25)(n + -25) = -221950

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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