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Simplifying a2 + a + 35 = 0 Reorder the terms: 35 + a + a2 = 0 Solving 35 + a + a2 = 0 Solving for variable 'a'. Begin completing the square. Move the constant term to the right: Add '-35' to each side of the equation. 35 + a + -35 + a2 = 0 + -35 Reorder the terms: 35 + -35 + a + a2 = 0 + -35 Combine like terms: 35 + -35 = 0 0 + a + a2 = 0 + -35 a + a2 = 0 + -35 Combine like terms: 0 + -35 = -35 a + a2 = -35 The a term is a. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. a + 0.25 + a2 = -35 + 0.25 Reorder the terms: 0.25 + a + a2 = -35 + 0.25 Combine like terms: -35 + 0.25 = -34.75 0.25 + a + a2 = -34.75 Factor a perfect square on the left side: (a + 0.5)(a + 0.5) = -34.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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