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Simplifying 2a2b + 6b2 + -2b = 0 Reorder the terms: 2a2b + -2b + 6b2 = 0 Solving 2a2b + -2b + 6b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2b' to each side of the equation. 2a2b + -2b + 2b + 6b2 = 0 + 2b Combine like terms: -2b + 2b = 0 2a2b + 0 + 6b2 = 0 + 2b 2a2b + 6b2 = 0 + 2b Remove the zero: 2a2b + 6b2 = 2b Add '-6b2' to each side of the equation. 2a2b + 6b2 + -6b2 = 2b + -6b2 Combine like terms: 6b2 + -6b2 = 0 2a2b + 0 = 2b + -6b2 2a2b = 2b + -6b2 Divide each side by '2b'. a2 = 1 + -3b Simplifying a2 = 1 + -3b Reorder the terms: -1 + a2 + 3b = 1 + -3b + -1 + 3b Reorder the terms: -1 + a2 + 3b = 1 + -1 + -3b + 3b Combine like terms: 1 + -1 = 0 -1 + a2 + 3b = 0 + -3b + 3b -1 + a2 + 3b = -3b + 3b Combine like terms: -3b + 3b = 0 -1 + a2 + 3b = 0 The solution to this equation could not be determined.
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