162c^2=c+(c-5)

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Solution for 162c^2=c+(c-5) equation:


Simplifying
162c2 = c + (c + -5)

Reorder the terms:
162c2 = c + (-5 + c)

Remove parenthesis around (-5 + c)
162c2 = c + -5 + c

Reorder the terms:
162c2 = -5 + c + c

Combine like terms: c + c = 2c
162c2 = -5 + 2c

Solving
162c2 = -5 + 2c

Solving for variable 'c'.

Reorder the terms:
5 + -2c + 162c2 = -5 + 2c + 5 + -2c

Reorder the terms:
5 + -2c + 162c2 = -5 + 5 + 2c + -2c

Combine like terms: -5 + 5 = 0
5 + -2c + 162c2 = 0 + 2c + -2c
5 + -2c + 162c2 = 2c + -2c

Combine like terms: 2c + -2c = 0
5 + -2c + 162c2 = 0

Begin completing the square.  Divide all terms by
162 the coefficient of the squared term: 

Divide each side by '162'.
0.03086419753 + -0.01234567901c + c2 = 0

Move the constant term to the right:

Add '-0.03086419753' to each side of the equation.
0.03086419753 + -0.01234567901c + -0.03086419753 + c2 = 0 + -0.03086419753

Reorder the terms:
0.03086419753 + -0.03086419753 + -0.01234567901c + c2 = 0 + -0.03086419753

Combine like terms: 0.03086419753 + -0.03086419753 = 0.00000000000
0.00000000000 + -0.01234567901c + c2 = 0 + -0.03086419753
-0.01234567901c + c2 = 0 + -0.03086419753

Combine like terms: 0 + -0.03086419753 = -0.03086419753
-0.01234567901c + c2 = -0.03086419753

The c term is -0.01234567901c.  Take half its coefficient (-0.006172839505).
Square it (0.00003810394755) and add it to both sides.

Add '0.00003810394755' to each side of the equation.
-0.01234567901c + 0.00003810394755 + c2 = -0.03086419753 + 0.00003810394755

Reorder the terms:
0.00003810394755 + -0.01234567901c + c2 = -0.03086419753 + 0.00003810394755

Combine like terms: -0.03086419753 + 0.00003810394755 = -0.03082609358245
0.00003810394755 + -0.01234567901c + c2 = -0.03082609358245

Factor a perfect square on the left side:
(c + -0.006172839505)(c + -0.006172839505) = -0.03082609358245

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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