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Simplifying 2a2 + -3[3b + -2b(b + 4)] = 0 Reorder the terms: 2a2 + -3[3b + -2b(4 + b)] = 0 2a2 + -3[3b + (4 * -2b + b * -2b)] = 0 2a2 + -3[3b + (-8b + -2b2)] = 0 Combine like terms: 3b + -8b = -5b 2a2 + -3[-5b + -2b2] = 0 2a2 + [-5b * -3 + -2b2 * -3] = 0 2a2 + [15b + 6b2] = 0 Solving 2a2 + 15b + 6b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15b' to each side of the equation. 2a2 + 15b + -15b + 6b2 = 0 + -15b Combine like terms: 15b + -15b = 0 2a2 + 0 + 6b2 = 0 + -15b 2a2 + 6b2 = 0 + -15b Remove the zero: 2a2 + 6b2 = -15b Add '-6b2' to each side of the equation. 2a2 + 6b2 + -6b2 = -15b + -6b2 Combine like terms: 6b2 + -6b2 = 0 2a2 + 0 = -15b + -6b2 2a2 = -15b + -6b2 Divide each side by '2'. a2 = -7.5b + -3b2 Simplifying a2 = -7.5b + -3b2 Reorder the terms: a2 + 7.5b + 3b2 = -7.5b + 7.5b + -3b2 + 3b2 Combine like terms: -7.5b + 7.5b = 0.0 a2 + 7.5b + 3b2 = 0.0 + -3b2 + 3b2 a2 + 7.5b + 3b2 = -3b2 + 3b2 Combine like terms: -3b2 + 3b2 = 0 a2 + 7.5b + 3b2 = 0 The solution to this equation could not be determined.
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