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Simplifying a2 + -4b2 + -12b + 9 = 0 Reorder the terms: 9 + a2 + -12b + -4b2 = 0 Solving 9 + a2 + -12b + -4b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + a2 + -12b + -9 + -4b2 = 0 + -9 Reorder the terms: 9 + -9 + a2 + -12b + -4b2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + a2 + -12b + -4b2 = 0 + -9 a2 + -12b + -4b2 = 0 + -9 Combine like terms: 0 + -9 = -9 a2 + -12b + -4b2 = -9 Add '12b' to each side of the equation. a2 + -12b + 12b + -4b2 = -9 + 12b Combine like terms: -12b + 12b = 0 a2 + 0 + -4b2 = -9 + 12b a2 + -4b2 = -9 + 12b Add '4b2' to each side of the equation. a2 + -4b2 + 4b2 = -9 + 12b + 4b2 Combine like terms: -4b2 + 4b2 = 0 a2 + 0 = -9 + 12b + 4b2 a2 = -9 + 12b + 4b2 Simplifying a2 = -9 + 12b + 4b2 Reorder the terms: 9 + a2 + -12b + -4b2 = -9 + 12b + 4b2 + 9 + -12b + -4b2 Reorder the terms: 9 + a2 + -12b + -4b2 = -9 + 9 + 12b + -12b + 4b2 + -4b2 Combine like terms: -9 + 9 = 0 9 + a2 + -12b + -4b2 = 0 + 12b + -12b + 4b2 + -4b2 9 + a2 + -12b + -4b2 = 12b + -12b + 4b2 + -4b2 Combine like terms: 12b + -12b = 0 9 + a2 + -12b + -4b2 = 0 + 4b2 + -4b2 9 + a2 + -12b + -4b2 = 4b2 + -4b2 Combine like terms: 4b2 + -4b2 = 0 9 + a2 + -12b + -4b2 = 0 The solution to this equation could not be determined.
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