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Simplifying (2a + -6)(4a2 + 12a + 36) = 0 Reorder the terms: (-6 + 2a)(4a2 + 12a + 36) = 0 Reorder the terms: (-6 + 2a)(36 + 12a + 4a2) = 0 Multiply (-6 + 2a) * (36 + 12a + 4a2) (-6(36 + 12a + 4a2) + 2a * (36 + 12a + 4a2)) = 0 ((36 * -6 + 12a * -6 + 4a2 * -6) + 2a * (36 + 12a + 4a2)) = 0 ((-216 + -72a + -24a2) + 2a * (36 + 12a + 4a2)) = 0 (-216 + -72a + -24a2 + (36 * 2a + 12a * 2a + 4a2 * 2a)) = 0 (-216 + -72a + -24a2 + (72a + 24a2 + 8a3)) = 0 Reorder the terms: (-216 + -72a + 72a + -24a2 + 24a2 + 8a3) = 0 Combine like terms: -72a + 72a = 0 (-216 + 0 + -24a2 + 24a2 + 8a3) = 0 (-216 + -24a2 + 24a2 + 8a3) = 0 Combine like terms: -24a2 + 24a2 = 0 (-216 + 0 + 8a3) = 0 (-216 + 8a3) = 0 Solving -216 + 8a3 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '216' to each side of the equation. -216 + 216 + 8a3 = 0 + 216 Combine like terms: -216 + 216 = 0 0 + 8a3 = 0 + 216 8a3 = 0 + 216 Combine like terms: 0 + 216 = 216 8a3 = 216 Divide each side by '8'. a3 = 27 Simplifying a3 = 27 Reorder the terms: -27 + a3 = 27 + -27 Combine like terms: 27 + -27 = 0 -27 + a3 = 0 The solution to this equation could not be determined.
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