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Simplifying (a + 4)(a + 4) = x2 + 8x + 16 Reorder the terms: (4 + a)(a + 4) = x2 + 8x + 16 Reorder the terms: (4 + a)(4 + a) = x2 + 8x + 16 Multiply (4 + a) * (4 + a) (4(4 + a) + a(4 + a)) = x2 + 8x + 16 ((4 * 4 + a * 4) + a(4 + a)) = x2 + 8x + 16 ((16 + 4a) + a(4 + a)) = x2 + 8x + 16 (16 + 4a + (4 * a + a * a)) = x2 + 8x + 16 (16 + 4a + (4a + a2)) = x2 + 8x + 16 Combine like terms: 4a + 4a = 8a (16 + 8a + a2) = x2 + 8x + 16 Reorder the terms: 16 + 8a + a2 = 16 + 8x + x2 Add '-16' to each side of the equation. 16 + 8a + -16 + a2 = 16 + 8x + -16 + x2 Reorder the terms: 16 + -16 + 8a + a2 = 16 + 8x + -16 + x2 Combine like terms: 16 + -16 = 0 0 + 8a + a2 = 16 + 8x + -16 + x2 8a + a2 = 16 + 8x + -16 + x2 Reorder the terms: 8a + a2 = 16 + -16 + 8x + x2 Combine like terms: 16 + -16 = 0 8a + a2 = 0 + 8x + x2 8a + a2 = 8x + x2 Solving 8a + a2 = 8x + x2 Solving for variable 'a'. Reorder the terms: 8a + a2 + -8x + -1x2 = 8x + -8x + x2 + -1x2 Combine like terms: 8x + -8x = 0 8a + a2 + -8x + -1x2 = 0 + x2 + -1x2 8a + a2 + -8x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 8a + a2 + -8x + -1x2 = 0 The solution to this equation could not be determined.
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