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