a^3+b^3+c^3=10

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Solution for a^3+b^3+c^3=10 equation:


Simplifying
a3 + b3 + c3 = 10

Solving
a3 + b3 + c3 = 10

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-1b3' to each side of the equation.
a3 + b3 + -1b3 + c3 = 10 + -1b3

Combine like terms: b3 + -1b3 = 0
a3 + 0 + c3 = 10 + -1b3
a3 + c3 = 10 + -1b3

Add '-1c3' to each side of the equation.
a3 + c3 + -1c3 = 10 + -1b3 + -1c3

Combine like terms: c3 + -1c3 = 0
a3 + 0 = 10 + -1b3 + -1c3
a3 = 10 + -1b3 + -1c3

Simplifying
a3 = 10 + -1b3 + -1c3

Reorder the terms:
-10 + a3 + b3 + c3 = 10 + -1b3 + -1c3 + -10 + b3 + c3

Reorder the terms:
-10 + a3 + b3 + c3 = 10 + -10 + -1b3 + b3 + -1c3 + c3

Combine like terms: 10 + -10 = 0
-10 + a3 + b3 + c3 = 0 + -1b3 + b3 + -1c3 + c3
-10 + a3 + b3 + c3 = -1b3 + b3 + -1c3 + c3

Combine like terms: -1b3 + b3 = 0
-10 + a3 + b3 + c3 = 0 + -1c3 + c3
-10 + a3 + b3 + c3 = -1c3 + c3

Combine like terms: -1c3 + c3 = 0
-10 + a3 + b3 + c3 = 0

The solution to this equation could not be determined.

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