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Simplifying 49 = a2 + b2 Solving 49 = a2 + b2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a2' to each side of the equation. 49 + -1a2 = a2 + -1a2 + b2 Combine like terms: a2 + -1a2 = 0 49 + -1a2 = 0 + b2 49 + -1a2 = b2 Add '-49' to each side of the equation. 49 + -49 + -1a2 = -49 + b2 Combine like terms: 49 + -49 = 0 0 + -1a2 = -49 + b2 -1a2 = -49 + b2 Divide each side by '-1'. a2 = 49 + -1b2 Simplifying a2 = 49 + -1b2 Reorder the terms: -49 + a2 + b2 = 49 + -1b2 + -49 + b2 Reorder the terms: -49 + a2 + b2 = 49 + -49 + -1b2 + b2 Combine like terms: 49 + -49 = 0 -49 + a2 + b2 = 0 + -1b2 + b2 -49 + a2 + b2 = -1b2 + b2 Combine like terms: -1b2 + b2 = 0 -49 + a2 + b2 = 0 The solution to this equation could not be determined.
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