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Simplifying a2 + 15a + 75 = 0 Reorder the terms: 75 + 15a + a2 = 0 Solving 75 + 15a + a2 = 0 Solving for variable 'a'. Begin completing the square. Move the constant term to the right: Add '-75' to each side of the equation. 75 + 15a + -75 + a2 = 0 + -75 Reorder the terms: 75 + -75 + 15a + a2 = 0 + -75 Combine like terms: 75 + -75 = 0 0 + 15a + a2 = 0 + -75 15a + a2 = 0 + -75 Combine like terms: 0 + -75 = -75 15a + a2 = -75 The a term is 15a. Take half its coefficient (7.5). Square it (56.25) and add it to both sides. Add '56.25' to each side of the equation. 15a + 56.25 + a2 = -75 + 56.25 Reorder the terms: 56.25 + 15a + a2 = -75 + 56.25 Combine like terms: -75 + 56.25 = -18.75 56.25 + 15a + a2 = -18.75 Factor a perfect square on the left side: (a + 7.5)(a + 7.5) = -18.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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