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Simplifying a2 + 16 = (a + -4)(a + 4) Reorder the terms: 16 + a2 = (a + -4)(a + 4) Reorder the terms: 16 + a2 = (-4 + a)(a + 4) Reorder the terms: 16 + a2 = (-4 + a)(4 + a) Multiply (-4 + a) * (4 + a) 16 + a2 = (-4(4 + a) + a(4 + a)) 16 + a2 = ((4 * -4 + a * -4) + a(4 + a)) 16 + a2 = ((-16 + -4a) + a(4 + a)) 16 + a2 = (-16 + -4a + (4 * a + a * a)) 16 + a2 = (-16 + -4a + (4a + a2)) Combine like terms: -4a + 4a = 0 16 + a2 = (-16 + 0 + a2) 16 + a2 = (-16 + a2) Add '-1a2' to each side of the equation. 16 + a2 + -1a2 = -16 + a2 + -1a2 Combine like terms: a2 + -1a2 = 0 16 + 0 = -16 + a2 + -1a2 16 = -16 + a2 + -1a2 Combine like terms: a2 + -1a2 = 0 16 = -16 + 0 16 = -16 Solving 16 = -16 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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