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Simplifying 1 + -1a + 0.5a2 = 0 Solving 1 + -1a + 0.5a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 0.5 the coefficient of the squared term: Divide each side by '0.5'. 2 + -2a + a2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -2a + -2 + a2 = 0 + -2 Reorder the terms: 2 + -2 + -2a + a2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -2a + a2 = 0 + -2 -2a + a2 = 0 + -2 Combine like terms: 0 + -2 = -2 -2a + a2 = -2 The a term is -2a. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2a + 1 + a2 = -2 + 1 Reorder the terms: 1 + -2a + a2 = -2 + 1 Combine like terms: -2 + 1 = -1 1 + -2a + a2 = -1 Factor a perfect square on the left side: (a + -1)(a + -1) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
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