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Simplifying 2(a2 + 2b + 2a2) + b + 2c = 0 Reorder the terms: 2(a2 + 2a2 + 2b) + b + 2c = 0 Combine like terms: a2 + 2a2 = 3a2 2(3a2 + 2b) + b + 2c = 0 (3a2 * 2 + 2b * 2) + b + 2c = 0 (6a2 + 4b) + b + 2c = 0 Combine like terms: 4b + b = 5b 6a2 + 5b + 2c = 0 Solving 6a2 + 5b + 2c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5b' to each side of the equation. 6a2 + 5b + -5b + 2c = 0 + -5b Combine like terms: 5b + -5b = 0 6a2 + 0 + 2c = 0 + -5b 6a2 + 2c = 0 + -5b Remove the zero: 6a2 + 2c = -5b Add '-2c' to each side of the equation. 6a2 + 2c + -2c = -5b + -2c Combine like terms: 2c + -2c = 0 6a2 + 0 = -5b + -2c 6a2 = -5b + -2c Divide each side by '6'. a2 = -0.8333333333b + -0.3333333333c Simplifying a2 = -0.8333333333b + -0.3333333333c Reorder the terms: a2 + 0.8333333333b + 0.3333333333c = -0.8333333333b + 0.8333333333b + -0.3333333333c + 0.3333333333c Combine like terms: -0.8333333333b + 0.8333333333b = 0.0000000000 a2 + 0.8333333333b + 0.3333333333c = 0.0000000000 + -0.3333333333c + 0.3333333333c a2 + 0.8333333333b + 0.3333333333c = -0.3333333333c + 0.3333333333c Combine like terms: -0.3333333333c + 0.3333333333c = 0.0000000000 a2 + 0.8333333333b + 0.3333333333c = 0.0000000000 The solution to this equation could not be determined.
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