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Simplifying 2a2 + -3[4b + -2b(b + 5)] = 0 Reorder the terms: 2a2 + -3[4b + -2b(5 + b)] = 0 2a2 + -3[4b + (5 * -2b + b * -2b)] = 0 2a2 + -3[4b + (-10b + -2b2)] = 0 Combine like terms: 4b + -10b = -6b 2a2 + -3[-6b + -2b2] = 0 2a2 + [-6b * -3 + -2b2 * -3] = 0 2a2 + [18b + 6b2] = 0 Solving 2a2 + 18b + 6b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18b' to each side of the equation. 2a2 + 18b + -18b + 6b2 = 0 + -18b Combine like terms: 18b + -18b = 0 2a2 + 0 + 6b2 = 0 + -18b 2a2 + 6b2 = 0 + -18b Remove the zero: 2a2 + 6b2 = -18b Add '-6b2' to each side of the equation. 2a2 + 6b2 + -6b2 = -18b + -6b2 Combine like terms: 6b2 + -6b2 = 0 2a2 + 0 = -18b + -6b2 2a2 = -18b + -6b2 Divide each side by '2'. a2 = -9b + -3b2 Simplifying a2 = -9b + -3b2 Reorder the terms: a2 + 9b + 3b2 = -9b + 9b + -3b2 + 3b2 Combine like terms: -9b + 9b = 0 a2 + 9b + 3b2 = 0 + -3b2 + 3b2 a2 + 9b + 3b2 = -3b2 + 3b2 Combine like terms: -3b2 + 3b2 = 0 a2 + 9b + 3b2 = 0 The solution to this equation could not be determined.
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