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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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