a^3+c^2-6b=4b+3c-3

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Solution for a^3+c^2-6b=4b+3c-3 equation: 


Simplifying
a3 + c2 + -6b = 4b + 3c + -3

Reorder the terms:
a3 + -6b + c2 = 4b + 3c + -3

Reorder the terms:
a3 + -6b + c2 = -3 + 4b + 3c

Solving
a3 + -6b + c2 = -3 + 4b + 3c

Solving for variable 'a'.

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

Add '6b' to each side of the equation.
a3 + -6b + 6b + c2 = -3 + 4b + 6b + 3c

Combine like terms: -6b + 6b = 0
a3 + 0 + c2 = -3 + 4b + 6b + 3c
a3 + c2 = -3 + 4b + 6b + 3c

Combine like terms: 4b + 6b = 10b
a3 + c2 = -3 + 10b + 3c

Add '-1c2' to each side of the equation.
a3 + c2 + -1c2 = -3 + 10b + 3c + -1c2

Combine like terms: c2 + -1c2 = 0
a3 + 0 = -3 + 10b + 3c + -1c2
a3 = -3 + 10b + 3c + -1c2

Simplifying
a3 = -3 + 10b + 3c + -1c2

Reorder the terms:
3 + a3 + -10b + -3c + c2 = -3 + 10b + 3c + -1c2 + 3 + -10b + -3c + c2

Reorder the terms:
3 + a3 + -10b + -3c + c2 = -3 + 3 + 10b + -10b + 3c + -3c + -1c2 + c2

Combine like terms: -3 + 3 = 0
3 + a3 + -10b + -3c + c2 = 0 + 10b + -10b + 3c + -3c + -1c2 + c2
3 + a3 + -10b + -3c + c2 = 10b + -10b + 3c + -3c + -1c2 + c2

Combine like terms: 10b + -10b = 0
3 + a3 + -10b + -3c + c2 = 0 + 3c + -3c + -1c2 + c2
3 + a3 + -10b + -3c + c2 = 3c + -3c + -1c2 + c2

Combine like terms: 3c + -3c = 0
3 + a3 + -10b + -3c + c2 = 0 + -1c2 + c2
3 + a3 + -10b + -3c + c2 = -1c2 + c2

Combine like terms: -1c2 + c2 = 0
3 + a3 + -10b + -3c + c2 = 0

The solution to this equation could not be determined.

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