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Simplifying a2 + 40a + 869 = 0 Reorder the terms: 869 + 40a + a2 = 0 Solving 869 + 40a + a2 = 0 Solving for variable 'a'. Begin completing the square. Move the constant term to the right: Add '-869' to each side of the equation. 869 + 40a + -869 + a2 = 0 + -869 Reorder the terms: 869 + -869 + 40a + a2 = 0 + -869 Combine like terms: 869 + -869 = 0 0 + 40a + a2 = 0 + -869 40a + a2 = 0 + -869 Combine like terms: 0 + -869 = -869 40a + a2 = -869 The a term is 40a. Take half its coefficient (20). Square it (400) and add it to both sides. Add '400' to each side of the equation. 40a + 400 + a2 = -869 + 400 Reorder the terms: 400 + 40a + a2 = -869 + 400 Combine like terms: -869 + 400 = -469 400 + 40a + a2 = -469 Factor a perfect square on the left side: (a + 20)(a + 20) = -469 Can't calculate square root of the right side. The solution to this equation could not be determined.
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