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Simplifying a2 + b2 + c2 + d2 = 0 Solving a2 + b2 + c2 + d2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1b2' to each side of the equation. a2 + b2 + c2 + -1b2 + d2 = 0 + -1b2 Reorder the terms: a2 + b2 + -1b2 + c2 + d2 = 0 + -1b2 Combine like terms: b2 + -1b2 = 0 a2 + 0 + c2 + d2 = 0 + -1b2 a2 + c2 + d2 = 0 + -1b2 Remove the zero: a2 + c2 + d2 = -1b2 Add '-1c2' to each side of the equation. a2 + c2 + -1c2 + d2 = -1b2 + -1c2 Combine like terms: c2 + -1c2 = 0 a2 + 0 + d2 = -1b2 + -1c2 a2 + d2 = -1b2 + -1c2 Add '-1d2' to each side of the equation. a2 + d2 + -1d2 = -1b2 + -1c2 + -1d2 Combine like terms: d2 + -1d2 = 0 a2 + 0 = -1b2 + -1c2 + -1d2 a2 = -1b2 + -1c2 + -1d2 Simplifying a2 = -1b2 + -1c2 + -1d2 Reorder the terms: a2 + b2 + c2 + d2 = -1b2 + b2 + -1c2 + c2 + -1d2 + d2 Combine like terms: -1b2 + b2 = 0 a2 + b2 + c2 + d2 = 0 + -1c2 + c2 + -1d2 + d2 a2 + b2 + c2 + d2 = -1c2 + c2 + -1d2 + d2 Combine like terms: -1c2 + c2 = 0 a2 + b2 + c2 + d2 = 0 + -1d2 + d2 a2 + b2 + c2 + d2 = -1d2 + d2 Combine like terms: -1d2 + d2 = 0 a2 + b2 + c2 + d2 = 0 The solution to this equation could not be determined.
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