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Simplifying (b + -6a)(b2 + 9) = 0 Reorder the terms: (-6a + b)(b2 + 9) = 0 Reorder the terms: (-6a + b)(9 + b2) = 0 Multiply (-6a + b) * (9 + b2) (-6a * (9 + b2) + b(9 + b2)) = 0 ((9 * -6a + b2 * -6a) + b(9 + b2)) = 0 ((-54a + -6ab2) + b(9 + b2)) = 0 (-54a + -6ab2 + (9 * b + b2 * b)) = 0 (-54a + -6ab2 + (9b + b3)) = 0 (-54a + -6ab2 + 9b + b3) = 0 Solving -54a + -6ab2 + 9b + b3 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9b' to each side of the equation. -54a + -6ab2 + 9b + -9b + b3 = 0 + -9b Combine like terms: 9b + -9b = 0 -54a + -6ab2 + 0 + b3 = 0 + -9b -54a + -6ab2 + b3 = 0 + -9b Remove the zero: -54a + -6ab2 + b3 = -9b Add '-1b3' to each side of the equation. -54a + -6ab2 + b3 + -1b3 = -9b + -1b3 Combine like terms: b3 + -1b3 = 0 -54a + -6ab2 + 0 = -9b + -1b3 -54a + -6ab2 = -9b + -1b3 Reorder the terms: -54a + -6ab2 + 9b + b3 = -9b + 9b + -1b3 + b3 Combine like terms: -9b + 9b = 0 -54a + -6ab2 + 9b + b3 = 0 + -1b3 + b3 -54a + -6ab2 + 9b + b3 = -1b3 + b3 Combine like terms: -1b3 + b3 = 0 -54a + -6ab2 + 9b + b3 = 0 The solution to this equation could not be determined.
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