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Simplifying a2 + b2 + 2b + 4b + 5 = 0 Reorder the terms: 5 + a2 + 2b + 4b + b2 = 0 Combine like terms: 2b + 4b = 6b 5 + a2 + 6b + b2 = 0 Solving 5 + a2 + 6b + b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + a2 + 6b + -5 + b2 = 0 + -5 Reorder the terms: 5 + -5 + a2 + 6b + b2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + a2 + 6b + b2 = 0 + -5 a2 + 6b + b2 = 0 + -5 Combine like terms: 0 + -5 = -5 a2 + 6b + b2 = -5 Add '-6b' to each side of the equation. a2 + 6b + -6b + b2 = -5 + -6b Combine like terms: 6b + -6b = 0 a2 + 0 + b2 = -5 + -6b a2 + b2 = -5 + -6b Add '-1b2' to each side of the equation. a2 + b2 + -1b2 = -5 + -6b + -1b2 Combine like terms: b2 + -1b2 = 0 a2 + 0 = -5 + -6b + -1b2 a2 = -5 + -6b + -1b2 Simplifying a2 = -5 + -6b + -1b2 Reorder the terms: 5 + a2 + 6b + b2 = -5 + -6b + -1b2 + 5 + 6b + b2 Reorder the terms: 5 + a2 + 6b + b2 = -5 + 5 + -6b + 6b + -1b2 + b2 Combine like terms: -5 + 5 = 0 5 + a2 + 6b + b2 = 0 + -6b + 6b + -1b2 + b2 5 + a2 + 6b + b2 = -6b + 6b + -1b2 + b2 Combine like terms: -6b + 6b = 0 5 + a2 + 6b + b2 = 0 + -1b2 + b2 5 + a2 + 6b + b2 = -1b2 + b2 Combine like terms: -1b2 + b2 = 0 5 + a2 + 6b + b2 = 0 The solution to this equation could not be determined.
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