n(10-0.02n)=-0.02n^2+10n

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Solution for n(10-0.02n)=-0.02n^2+10n equation: 


Simplifying
n(10 + -0.02n) = -0.02n2 + 10n
(10 * n + -0.02n * n) = -0.02n2 + 10n
(10n + -0.02n2) = -0.02n2 + 10n

Reorder the terms:
10n + -0.02n2 = 10n + -0.02n2

Add '-10n' to each side of the equation.
10n + -10n + -0.02n2 = 10n + -10n + -0.02n2

Combine like terms: 10n + -10n = 0
0 + -0.02n2 = 10n + -10n + -0.02n2
-0.02n2 = 10n + -10n + -0.02n2

Combine like terms: 10n + -10n = 0
-0.02n2 = 0 + -0.02n2
-0.02n2 = -0.02n2

Add '0.02n2' to each side of the equation.
-0.02n2 + 0.02n2 = -0.02n2 + 0.02n2

Combine like terms: -0.02n2 + 0.02n2 = 0.00
0.00 = -0.02n2 + 0.02n2

Combine like terms: -0.02n2 + 0.02n2 = 0.00
0.00 = 0.00

Solving
0.00 = 0.00

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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