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Simplifying 0 = 2c2 + -2cd + 4dc + -4d2 + -3ec + 3ed + c + -1d Reorder the terms: 0 = c + -2cd + 4cd + -3ce + 2c2 + -1d + 3de + -4d2 Combine like terms: -2cd + 4cd = 2cd 0 = c + 2cd + -3ce + 2c2 + -1d + 3de + -4d2 Solving 0 = c + 2cd + -3ce + 2c2 + -1d + 3de + -4d2 Solving for variable 'c'. Remove the zero: -1c + -2cd + 3ce + -2c2 + d + -3de + 4d2 = c + 2cd + -3ce + 2c2 + -1d + 3de + -4d2 + -1c + -2cd + 3ce + -2c2 + d + -3de + 4d2 Reorder the terms: -1c + -2cd + 3ce + -2c2 + d + -3de + 4d2 = c + -1c + 2cd + -2cd + -3ce + 3ce + 2c2 + -2c2 + -1d + d + 3de + -3de + -4d2 + 4d2 Combine like terms: c + -1c = 0 -1c + -2cd + 3ce + -2c2 + d + -3de + 4d2 = 0 + 2cd + -2cd + -3ce + 3ce + 2c2 + -2c2 + -1d + d + 3de + -3de + -4d2 + 4d2 -1c + -2cd + 3ce + -2c2 + d + -3de + 4d2 = 2cd + -2cd + -3ce + 3ce + 2c2 + -2c2 + -1d + d + 3de + -3de + -4d2 + 4d2 Combine like terms: 2cd + -2cd = 0 -1c + -2cd + 3ce + -2c2 + d + -3de + 4d2 = 0 + -3ce + 3ce + 2c2 + -2c2 + -1d + d + 3de + -3de + -4d2 + 4d2 -1c + -2cd + 3ce + -2c2 + d + -3de + 4d2 = -3ce + 3ce + 2c2 + -2c2 + -1d + d + 3de + -3de + -4d2 + 4d2 Combine like terms: -3ce + 3ce = 0 -1c + -2cd + 3ce + -2c2 + d + -3de + 4d2 = 0 + 2c2 + -2c2 + -1d + d + 3de + -3de + -4d2 + 4d2 -1c + -2cd + 3ce + -2c2 + d + -3de + 4d2 = 2c2 + -2c2 + -1d + d + 3de + -3de + -4d2 + 4d2 Combine like terms: 2c2 + -2c2 = 0 -1c + -2cd + 3ce + -2c2 + d + -3de + 4d2 = 0 + -1d + d + 3de + -3de + -4d2 + 4d2 -1c + -2cd + 3ce + -2c2 + d + -3de + 4d2 = -1d + d + 3de + -3de + -4d2 + 4d2 Combine like terms: -1d + d = 0 -1c + -2cd + 3ce + -2c2 + d + -3de + 4d2 = 0 + 3de + -3de + -4d2 + 4d2 -1c + -2cd + 3ce + -2c2 + d + -3de + 4d2 = 3de + -3de + -4d2 + 4d2 Combine like terms: 3de + -3de = 0 -1c + -2cd + 3ce + -2c2 + d + -3de + 4d2 = 0 + -4d2 + 4d2 -1c + -2cd + 3ce + -2c2 + d + -3de + 4d2 = -4d2 + 4d2 Combine like terms: -4d2 + 4d2 = 0 -1c + -2cd + 3ce + -2c2 + d + -3de + 4d2 = 0 The solution to this equation could not be determined.
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