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Simplifying 9a2 + -4[2b + -5b(b + 2)] = 0 Reorder the terms: 9a2 + -4[2b + -5b(2 + b)] = 0 9a2 + -4[2b + (2 * -5b + b * -5b)] = 0 9a2 + -4[2b + (-10b + -5b2)] = 0 Combine like terms: 2b + -10b = -8b 9a2 + -4[-8b + -5b2] = 0 9a2 + [-8b * -4 + -5b2 * -4] = 0 9a2 + [32b + 20b2] = 0 Solving 9a2 + 32b + 20b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-32b' to each side of the equation. 9a2 + 32b + -32b + 20b2 = 0 + -32b Combine like terms: 32b + -32b = 0 9a2 + 0 + 20b2 = 0 + -32b 9a2 + 20b2 = 0 + -32b Remove the zero: 9a2 + 20b2 = -32b Add '-20b2' to each side of the equation. 9a2 + 20b2 + -20b2 = -32b + -20b2 Combine like terms: 20b2 + -20b2 = 0 9a2 + 0 = -32b + -20b2 9a2 = -32b + -20b2 Divide each side by '9'. a2 = -3.555555556b + -2.222222222b2 Simplifying a2 = -3.555555556b + -2.222222222b2 Reorder the terms: a2 + 3.555555556b + 2.222222222b2 = -3.555555556b + 3.555555556b + -2.222222222b2 + 2.222222222b2 Combine like terms: -3.555555556b + 3.555555556b = 0.000000000 a2 + 3.555555556b + 2.222222222b2 = 0.000000000 + -2.222222222b2 + 2.222222222b2 a2 + 3.555555556b + 2.222222222b2 = -2.222222222b2 + 2.222222222b2 Combine like terms: -2.222222222b2 + 2.222222222b2 = 0.000000000 a2 + 3.555555556b + 2.222222222b2 = 0.000000000 The solution to this equation could not be determined.
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