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Simplifying (A3 + -8)(a4 + 3a2 + 4) = 0 Reorder the terms: (-8 + A3)(a4 + 3a2 + 4) = 0 Reorder the terms: (-8 + A3)(4 + 3a2 + a4) = 0 Multiply (-8 + A3) * (4 + 3a2 + a4) (-8(4 + 3a2 + a4) + A3(4 + 3a2 + a4)) = 0 ((4 * -8 + 3a2 * -8 + a4 * -8) + A3(4 + 3a2 + a4)) = 0 ((-32 + -24a2 + -8a4) + A3(4 + 3a2 + a4)) = 0 (-32 + -24a2 + -8a4 + (4 * A3 + 3a2 * A3 + a4 * A3)) = 0 (-32 + -24a2 + -8a4 + (4A3 + 3a2A3 + a4A3)) = 0 Reorder the terms: (-32 + 4A3 + -24a2 + 3a2A3 + -8a4 + a4A3) = 0 (-32 + 4A3 + -24a2 + 3a2A3 + -8a4 + a4A3) = 0 Solving -32 + 4A3 + -24a2 + 3a2A3 + -8a4 + a4A3 = 0 Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 4A3 + -24a2 + 3a2A3 + -8a4 + 32 + a4A3 = 0 + 32 Reorder the terms: -32 + 32 + 4A3 + -24a2 + 3a2A3 + -8a4 + a4A3 = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 4A3 + -24a2 + 3a2A3 + -8a4 + a4A3 = 0 + 32 4A3 + -24a2 + 3a2A3 + -8a4 + a4A3 = 0 + 32 Combine like terms: 0 + 32 = 32 4A3 + -24a2 + 3a2A3 + -8a4 + a4A3 = 32 Add '24a2' to each side of the equation. 4A3 + -24a2 + 3a2A3 + -8a4 + 24a2 + a4A3 = 32 + 24a2 Reorder the terms: 4A3 + -24a2 + 24a2 + 3a2A3 + -8a4 + a4A3 = 32 + 24a2 Combine like terms: -24a2 + 24a2 = 0 4A3 + 0 + 3a2A3 + -8a4 + a4A3 = 32 + 24a2 4A3 + 3a2A3 + -8a4 + a4A3 = 32 + 24a2 Add '8a4' to each side of the equation. 4A3 + 3a2A3 + -8a4 + 8a4 + a4A3 = 32 + 24a2 + 8a4 Combine like terms: -8a4 + 8a4 = 0 4A3 + 3a2A3 + 0 + a4A3 = 32 + 24a2 + 8a4 4A3 + 3a2A3 + a4A3 = 32 + 24a2 + 8a4 Reorder the terms: -32 + 4A3 + -24a2 + 3a2A3 + -8a4 + a4A3 = 32 + 24a2 + 8a4 + -32 + -24a2 + -8a4 Reorder the terms: -32 + 4A3 + -24a2 + 3a2A3 + -8a4 + a4A3 = 32 + -32 + 24a2 + -24a2 + 8a4 + -8a4 Combine like terms: 32 + -32 = 0 -32 + 4A3 + -24a2 + 3a2A3 + -8a4 + a4A3 = 0 + 24a2 + -24a2 + 8a4 + -8a4 -32 + 4A3 + -24a2 + 3a2A3 + -8a4 + a4A3 = 24a2 + -24a2 + 8a4 + -8a4 Combine like terms: 24a2 + -24a2 = 0 -32 + 4A3 + -24a2 + 3a2A3 + -8a4 + a4A3 = 0 + 8a4 + -8a4 -32 + 4A3 + -24a2 + 3a2A3 + -8a4 + a4A3 = 8a4 + -8a4 Combine like terms: 8a4 + -8a4 = 0 -32 + 4A3 + -24a2 + 3a2A3 + -8a4 + a4A3 = 0 The solution to this equation could not be determined.
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