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Simplifying 5a2 + -5[2b + -4b(b + 3)] = 0 Reorder the terms: 5a2 + -5[2b + -4b(3 + b)] = 0 5a2 + -5[2b + (3 * -4b + b * -4b)] = 0 5a2 + -5[2b + (-12b + -4b2)] = 0 Combine like terms: 2b + -12b = -10b 5a2 + -5[-10b + -4b2] = 0 5a2 + [-10b * -5 + -4b2 * -5] = 0 5a2 + [50b + 20b2] = 0 Solving 5a2 + 50b + 20b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-50b' to each side of the equation. 5a2 + 50b + -50b + 20b2 = 0 + -50b Combine like terms: 50b + -50b = 0 5a2 + 0 + 20b2 = 0 + -50b 5a2 + 20b2 = 0 + -50b Remove the zero: 5a2 + 20b2 = -50b Add '-20b2' to each side of the equation. 5a2 + 20b2 + -20b2 = -50b + -20b2 Combine like terms: 20b2 + -20b2 = 0 5a2 + 0 = -50b + -20b2 5a2 = -50b + -20b2 Divide each side by '5'. a2 = -10b + -4b2 Simplifying a2 = -10b + -4b2 Reorder the terms: a2 + 10b + 4b2 = -10b + 10b + -4b2 + 4b2 Combine like terms: -10b + 10b = 0 a2 + 10b + 4b2 = 0 + -4b2 + 4b2 a2 + 10b + 4b2 = -4b2 + 4b2 Combine like terms: -4b2 + 4b2 = 0 a2 + 10b + 4b2 = 0 The solution to this equation could not be determined.
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