3a^2+3b+c=6

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


Simplifying
3a2 + 3b + c = 6

Solving
3a2 + 3b + c = 6

Solving for variable 'a'.

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

Add '-3b' to each side of the equation.
3a2 + 3b + -3b + c = 6 + -3b

Combine like terms: 3b + -3b = 0
3a2 + 0 + c = 6 + -3b
3a2 + c = 6 + -3b

Add '-1c' to each side of the equation.
3a2 + c + -1c = 6 + -3b + -1c

Combine like terms: c + -1c = 0
3a2 + 0 = 6 + -3b + -1c
3a2 = 6 + -3b + -1c

Divide each side by '3'.
a2 = 2 + -1b + -0.3333333333c

Simplifying
a2 = 2 + -1b + -0.3333333333c

Reorder the terms:
-2 + a2 + b + 0.3333333333c = 2 + -1b + -0.3333333333c + -2 + b + 0.3333333333c

Reorder the terms:
-2 + a2 + b + 0.3333333333c = 2 + -2 + -1b + b + -0.3333333333c + 0.3333333333c

Combine like terms: 2 + -2 = 0
-2 + a2 + b + 0.3333333333c = 0 + -1b + b + -0.3333333333c + 0.3333333333c
-2 + a2 + b + 0.3333333333c = -1b + b + -0.3333333333c + 0.3333333333c

Combine like terms: -1b + b = 0
-2 + a2 + b + 0.3333333333c = 0 + -0.3333333333c + 0.3333333333c
-2 + a2 + b + 0.3333333333c = -0.3333333333c + 0.3333333333c

Combine like terms: -0.3333333333c + 0.3333333333c = 0.0000000000
-2 + a2 + b + 0.3333333333c = 0.0000000000

The solution to this equation could not be determined.

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