1=c+c^2+C^2+c+3c^2+2c

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Solution for 1=c+c^2+C^2+c+3c^2+2c equation:


Simplifying
1 = c + c2 + C2 + c + 3c2 + 2c

Reorder the terms:
1 = C2 + c + c + 2c + c2 + 3c2

Combine like terms: c + c = 2c
1 = C2 + 2c + 2c + c2 + 3c2

Combine like terms: 2c + 2c = 4c
1 = C2 + 4c + c2 + 3c2

Combine like terms: c2 + 3c2 = 4c2
1 = C2 + 4c + 4c2

Solving
1 = C2 + 4c + 4c2

Solving for variable 'C'.

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

Add '-1C2' to each side of the equation.
1 + -1C2 = C2 + 4c + -1C2 + 4c2

Reorder the terms:
1 + -1C2 = C2 + -1C2 + 4c + 4c2

Combine like terms: C2 + -1C2 = 0
1 + -1C2 = 0 + 4c + 4c2
1 + -1C2 = 4c + 4c2

Add '-1' to each side of the equation.
1 + -1 + -1C2 = 4c + -1 + 4c2

Combine like terms: 1 + -1 = 0
0 + -1C2 = 4c + -1 + 4c2
-1C2 = 4c + -1 + 4c2

Reorder the terms:
-1C2 = -1 + 4c + 4c2

Divide each side by '-1'.
C2 = 1 + -4c + -4c2

Simplifying
C2 = 1 + -4c + -4c2

Reorder the terms:
-1 + C2 + 4c + 4c2 = 1 + -4c + -4c2 + -1 + 4c + 4c2

Reorder the terms:
-1 + C2 + 4c + 4c2 = 1 + -1 + -4c + 4c + -4c2 + 4c2

Combine like terms: 1 + -1 = 0
-1 + C2 + 4c + 4c2 = 0 + -4c + 4c + -4c2 + 4c2
-1 + C2 + 4c + 4c2 = -4c + 4c + -4c2 + 4c2

Combine like terms: -4c + 4c = 0
-1 + C2 + 4c + 4c2 = 0 + -4c2 + 4c2
-1 + C2 + 4c + 4c2 = -4c2 + 4c2

Combine like terms: -4c2 + 4c2 = 0
-1 + C2 + 4c + 4c2 = 0

The solution to this equation could not be determined.

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