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Simplifying 2a2 + b2 = 12 Solving 2a2 + b2 = 12 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. 2a2 + b2 + -1b2 = 12 + -1b2 Combine like terms: b2 + -1b2 = 0 2a2 + 0 = 12 + -1b2 2a2 = 12 + -1b2 Divide each side by '2'. a2 = 6 + -0.5b2 Simplifying a2 = 6 + -0.5b2 Reorder the terms: -6 + a2 + 0.5b2 = 6 + -0.5b2 + -6 + 0.5b2 Reorder the terms: -6 + a2 + 0.5b2 = 6 + -6 + -0.5b2 + 0.5b2 Combine like terms: 6 + -6 = 0 -6 + a2 + 0.5b2 = 0 + -0.5b2 + 0.5b2 -6 + a2 + 0.5b2 = -0.5b2 + 0.5b2 Combine like terms: -0.5b2 + 0.5b2 = 0.0 -6 + a2 + 0.5b2 = 0.0 The solution to this equation could not be determined.
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