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Simplifying a2 + 24a + 240 = 0 Reorder the terms: 240 + 24a + a2 = 0 Solving 240 + 24a + a2 = 0 Solving for variable 'a'. Begin completing the square. Move the constant term to the right: Add '-240' to each side of the equation. 240 + 24a + -240 + a2 = 0 + -240 Reorder the terms: 240 + -240 + 24a + a2 = 0 + -240 Combine like terms: 240 + -240 = 0 0 + 24a + a2 = 0 + -240 24a + a2 = 0 + -240 Combine like terms: 0 + -240 = -240 24a + a2 = -240 The a term is 24a. Take half its coefficient (12). Square it (144) and add it to both sides. Add '144' to each side of the equation. 24a + 144 + a2 = -240 + 144 Reorder the terms: 144 + 24a + a2 = -240 + 144 Combine like terms: -240 + 144 = -96 144 + 24a + a2 = -96 Factor a perfect square on the left side: (a + 12)(a + 12) = -96 Can't calculate square root of the right side. The solution to this equation could not be determined.
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