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Simplifying a2 + -1a4 + -0.5 = 0 Reorder the terms: -0.5 + a2 + -1a4 = 0 Solving -0.5 + a2 + -1a4 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 0.5 + -1a2 + a4 = 0 Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + -1a2 + -0.5 + a4 = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + -1a2 + a4 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -1a2 + a4 = 0 + -0.5 -1a2 + a4 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 -1a2 + a4 = -0.5 The a term is a2. 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. -1a2 + 0.25 + a4 = -0.5 + 0.25 Reorder the terms: 0.25 + -1a2 + a4 = -0.5 + 0.25 Combine like terms: -0.5 + 0.25 = -0.25 0.25 + -1a2 + a4 = -0.25 Factor a perfect square on the left side: (a2 + 0.5)(a2 + 0.5) = -0.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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