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Simplifying (2a + 3b)(4a2 + -6ab + 9b2) = 0 Reorder the terms: (2a + 3b)(-6ab + 4a2 + 9b2) = 0 Multiply (2a + 3b) * (-6ab + 4a2 + 9b2) (2a * (-6ab + 4a2 + 9b2) + 3b * (-6ab + 4a2 + 9b2)) = 0 ((-6ab * 2a + 4a2 * 2a + 9b2 * 2a) + 3b * (-6ab + 4a2 + 9b2)) = 0 Reorder the terms: ((18ab2 + -12a2b + 8a3) + 3b * (-6ab + 4a2 + 9b2)) = 0 ((18ab2 + -12a2b + 8a3) + 3b * (-6ab + 4a2 + 9b2)) = 0 (18ab2 + -12a2b + 8a3 + (-6ab * 3b + 4a2 * 3b + 9b2 * 3b)) = 0 (18ab2 + -12a2b + 8a3 + (-18ab2 + 12a2b + 27b3)) = 0 Reorder the terms: (18ab2 + -18ab2 + -12a2b + 12a2b + 8a3 + 27b3) = 0 Combine like terms: 18ab2 + -18ab2 = 0 (0 + -12a2b + 12a2b + 8a3 + 27b3) = 0 (-12a2b + 12a2b + 8a3 + 27b3) = 0 Combine like terms: -12a2b + 12a2b = 0 (0 + 8a3 + 27b3) = 0 (8a3 + 27b3) = 0 Solving 8a3 + 27b3 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-27b3' to each side of the equation. 8a3 + 27b3 + -27b3 = 0 + -27b3 Combine like terms: 27b3 + -27b3 = 0 8a3 + 0 = 0 + -27b3 8a3 = 0 + -27b3 Remove the zero: 8a3 = -27b3 Divide each side by '8'. a3 = -3.375b3 Simplifying a3 = -3.375b3 Combine like terms: -3.375b3 + 3.375b3 = 0.000 a3 + 3.375b3 = 0.000 The solution to this equation could not be determined.
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