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Simplifying (A + -6)(a2 + 6a + 36) = 0 Reorder the terms: (-6 + A)(a2 + 6a + 36) = 0 Reorder the terms: (-6 + A)(36 + 6a + a2) = 0 Multiply (-6 + A) * (36 + 6a + a2) (-6(36 + 6a + a2) + A(36 + 6a + a2)) = 0 ((36 * -6 + 6a * -6 + a2 * -6) + A(36 + 6a + a2)) = 0 ((-216 + -36a + -6a2) + A(36 + 6a + a2)) = 0 (-216 + -36a + -6a2 + (36 * A + 6a * A + a2 * A)) = 0 (-216 + -36a + -6a2 + (36A + 6aA + a2A)) = 0 Reorder the terms: (-216 + 36A + -36a + 6aA + -6a2 + a2A) = 0 (-216 + 36A + -36a + 6aA + -6a2 + a2A) = 0 Solving -216 + 36A + -36a + 6aA + -6a2 + a2A = 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 + 36A + -36a + 6aA + -6a2 + 216 + a2A = 0 + 216 Reorder the terms: -216 + 216 + 36A + -36a + 6aA + -6a2 + a2A = 0 + 216 Combine like terms: -216 + 216 = 0 0 + 36A + -36a + 6aA + -6a2 + a2A = 0 + 216 36A + -36a + 6aA + -6a2 + a2A = 0 + 216 Combine like terms: 0 + 216 = 216 36A + -36a + 6aA + -6a2 + a2A = 216 Add '36a' to each side of the equation. 36A + -36a + 6aA + -6a2 + 36a + a2A = 216 + 36a Reorder the terms: 36A + -36a + 36a + 6aA + -6a2 + a2A = 216 + 36a Combine like terms: -36a + 36a = 0 36A + 0 + 6aA + -6a2 + a2A = 216 + 36a 36A + 6aA + -6a2 + a2A = 216 + 36a Add '6a2' to each side of the equation. 36A + 6aA + -6a2 + 6a2 + a2A = 216 + 36a + 6a2 Combine like terms: -6a2 + 6a2 = 0 36A + 6aA + 0 + a2A = 216 + 36a + 6a2 36A + 6aA + a2A = 216 + 36a + 6a2 Reorder the terms: -216 + 36A + -36a + 6aA + -6a2 + a2A = 216 + 36a + 6a2 + -216 + -36a + -6a2 Reorder the terms: -216 + 36A + -36a + 6aA + -6a2 + a2A = 216 + -216 + 36a + -36a + 6a2 + -6a2 Combine like terms: 216 + -216 = 0 -216 + 36A + -36a + 6aA + -6a2 + a2A = 0 + 36a + -36a + 6a2 + -6a2 -216 + 36A + -36a + 6aA + -6a2 + a2A = 36a + -36a + 6a2 + -6a2 Combine like terms: 36a + -36a = 0 -216 + 36A + -36a + 6aA + -6a2 + a2A = 0 + 6a2 + -6a2 -216 + 36A + -36a + 6aA + -6a2 + a2A = 6a2 + -6a2 Combine like terms: 6a2 + -6a2 = 0 -216 + 36A + -36a + 6aA + -6a2 + a2A = 0 The solution to this equation could not be determined.
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