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Simplifying 8a2 + -3[2b + -3b(b + 3)] = 0 Reorder the terms: 8a2 + -3[2b + -3b(3 + b)] = 0 8a2 + -3[2b + (3 * -3b + b * -3b)] = 0 8a2 + -3[2b + (-9b + -3b2)] = 0 Combine like terms: 2b + -9b = -7b 8a2 + -3[-7b + -3b2] = 0 8a2 + [-7b * -3 + -3b2 * -3] = 0 8a2 + [21b + 9b2] = 0 Solving 8a2 + 21b + 9b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21b' to each side of the equation. 8a2 + 21b + -21b + 9b2 = 0 + -21b Combine like terms: 21b + -21b = 0 8a2 + 0 + 9b2 = 0 + -21b 8a2 + 9b2 = 0 + -21b Remove the zero: 8a2 + 9b2 = -21b Add '-9b2' to each side of the equation. 8a2 + 9b2 + -9b2 = -21b + -9b2 Combine like terms: 9b2 + -9b2 = 0 8a2 + 0 = -21b + -9b2 8a2 = -21b + -9b2 Divide each side by '8'. a2 = -2.625b + -1.125b2 Simplifying a2 = -2.625b + -1.125b2 Reorder the terms: a2 + 2.625b + 1.125b2 = -2.625b + 2.625b + -1.125b2 + 1.125b2 Combine like terms: -2.625b + 2.625b = 0.000 a2 + 2.625b + 1.125b2 = 0.000 + -1.125b2 + 1.125b2 a2 + 2.625b + 1.125b2 = -1.125b2 + 1.125b2 Combine like terms: -1.125b2 + 1.125b2 = 0.000 a2 + 2.625b + 1.125b2 = 0.000 The solution to this equation could not be determined.
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