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Simplifying (a2 + 3b2) + -1(-5a2 + -3b2) = 0 Remove parenthesis around (a2 + 3b2) a2 + 3b2 + -1(-5a2 + -3b2) = 0 a2 + 3b2 + (-5a2 * -1 + -3b2 * -1) = 0 a2 + 3b2 + (5a2 + 3b2) = 0 Reorder the terms: a2 + 5a2 + 3b2 + 3b2 = 0 Combine like terms: a2 + 5a2 = 6a2 6a2 + 3b2 + 3b2 = 0 Combine like terms: 3b2 + 3b2 = 6b2 6a2 + 6b2 = 0 Solving 6a2 + 6b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6b2' to each side of the equation. 6a2 + 6b2 + -6b2 = 0 + -6b2 Combine like terms: 6b2 + -6b2 = 0 6a2 + 0 = 0 + -6b2 6a2 = 0 + -6b2 Remove the zero: 6a2 = -6b2 Divide each side by '6'. a2 = -1b2 Simplifying a2 = -1b2 Combine like terms: -1b2 + b2 = 0 a2 + b2 = 0 The solution to this equation could not be determined.
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