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Simplifying (2a + -1b)(4a2 + 2ab + b2) = 0 Reorder the terms: (2a + -1b)(2ab + 4a2 + b2) = 0 Multiply (2a + -1b) * (2ab + 4a2 + b2) (2a * (2ab + 4a2 + b2) + -1b * (2ab + 4a2 + b2)) = 0 ((2ab * 2a + 4a2 * 2a + b2 * 2a) + -1b * (2ab + 4a2 + b2)) = 0 Reorder the terms: ((2ab2 + 4a2b + 8a3) + -1b * (2ab + 4a2 + b2)) = 0 ((2ab2 + 4a2b + 8a3) + -1b * (2ab + 4a2 + b2)) = 0 (2ab2 + 4a2b + 8a3 + (2ab * -1b + 4a2 * -1b + b2 * -1b)) = 0 (2ab2 + 4a2b + 8a3 + (-2ab2 + -4a2b + -1b3)) = 0 Reorder the terms: (2ab2 + -2ab2 + 4a2b + -4a2b + 8a3 + -1b3) = 0 Combine like terms: 2ab2 + -2ab2 = 0 (0 + 4a2b + -4a2b + 8a3 + -1b3) = 0 (4a2b + -4a2b + 8a3 + -1b3) = 0 Combine like terms: 4a2b + -4a2b = 0 (0 + 8a3 + -1b3) = 0 (8a3 + -1b3) = 0 Solving 8a3 + -1b3 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'b3' to each side of the equation. 8a3 + -1b3 + b3 = 0 + b3 Combine like terms: -1b3 + b3 = 0 8a3 + 0 = 0 + b3 8a3 = 0 + b3 Remove the zero: 8a3 = b3 Divide each side by '8'. a3 = 0.125b3 Simplifying a3 = 0.125b3 Combine like terms: 0.125b3 + -0.125b3 = 0.000 a3 + -0.125b3 = 0.000 The solution to this equation could not be determined.
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