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Simplifying 3a2 + -4[2b + -3b(b + 2)] = 0 Reorder the terms: 3a2 + -4[2b + -3b(2 + b)] = 0 3a2 + -4[2b + (2 * -3b + b * -3b)] = 0 3a2 + -4[2b + (-6b + -3b2)] = 0 Combine like terms: 2b + -6b = -4b 3a2 + -4[-4b + -3b2] = 0 3a2 + [-4b * -4 + -3b2 * -4] = 0 3a2 + [16b + 12b2] = 0 Solving 3a2 + 16b + 12b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16b' to each side of the equation. 3a2 + 16b + -16b + 12b2 = 0 + -16b Combine like terms: 16b + -16b = 0 3a2 + 0 + 12b2 = 0 + -16b 3a2 + 12b2 = 0 + -16b Remove the zero: 3a2 + 12b2 = -16b Add '-12b2' to each side of the equation. 3a2 + 12b2 + -12b2 = -16b + -12b2 Combine like terms: 12b2 + -12b2 = 0 3a2 + 0 = -16b + -12b2 3a2 = -16b + -12b2 Divide each side by '3'. a2 = -5.333333333b + -4b2 Simplifying a2 = -5.333333333b + -4b2 Reorder the terms: a2 + 5.333333333b + 4b2 = -5.333333333b + 5.333333333b + -4b2 + 4b2 Combine like terms: -5.333333333b + 5.333333333b = 0.000000000 a2 + 5.333333333b + 4b2 = 0.000000000 + -4b2 + 4b2 a2 + 5.333333333b + 4b2 = -4b2 + 4b2 Combine like terms: -4b2 + 4b2 = 0 a2 + 5.333333333b + 4b2 = 0 The solution to this equation could not be determined.
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