(3a^3-5b^3)+a^3+b^3=(a^3+b^3)

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Solution for (3a^3-5b^3)+a^3+b^3=(a^3+b^3) equation:


Simplifying
(3a3 + -5b3) + a3 + b3 = (a3 + b3)

Remove parenthesis around (3a3 + -5b3)
3a3 + -5b3 + a3 + b3 = (a3 + b3)

Reorder the terms:
3a3 + a3 + -5b3 + b3 = (a3 + b3)

Combine like terms: 3a3 + a3 = 4a3
4a3 + -5b3 + b3 = (a3 + b3)

Combine like terms: -5b3 + b3 = -4b3
4a3 + -4b3 = (a3 + b3)

Remove parenthesis around (a3 + b3)
4a3 + -4b3 = a3 + b3

Solving
4a3 + -4b3 = a3 + b3

Solving for variable 'a'.

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

Add '-1a3' to each side of the equation.
4a3 + -1a3 + -4b3 = a3 + -1a3 + b3

Combine like terms: 4a3 + -1a3 = 3a3
3a3 + -4b3 = a3 + -1a3 + b3

Combine like terms: a3 + -1a3 = 0
3a3 + -4b3 = 0 + b3
3a3 + -4b3 = b3

Add '4b3' to each side of the equation.
3a3 + -4b3 + 4b3 = b3 + 4b3

Combine like terms: -4b3 + 4b3 = 0
3a3 + 0 = b3 + 4b3
3a3 = b3 + 4b3

Combine like terms: b3 + 4b3 = 5b3
3a3 = 5b3

Divide each side by '3'.
a3 = 1.666666667b3

Simplifying
a3 = 1.666666667b3

Combine like terms: 1.666666667b3 + -1.666666667b3 = 0.000000000
a3 + -1.666666667b3 = 0.000000000

The solution to this equation could not be determined.

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