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Simplifying -1a + [2 + -1a] * a = 4 Reorder the terms for easier multiplication: -1a + a[2 + -1a] = 4 -1a + [2 * a + -1a * a] = 4 -1a + [2a + -1a2] = 4 Combine like terms: -1a + 2a = 1a 1a + -1a2 = 4 Solving 1a + -1a2 = 4 Solving for variable 'a'. Reorder the terms: -4 + 1a + -1a2 = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + 1a + -1a2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 4 + -1a + a2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + -1a + -4 + a2 = 0 + -4 Reorder the terms: 4 + -4 + -1a + a2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1a + a2 = 0 + -4 -1a + a2 = 0 + -4 Combine like terms: 0 + -4 = -4 -1a + a2 = -4 The a term is -1a. 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. -1a + 0.25 + a2 = -4 + 0.25 Reorder the terms: 0.25 + -1a + a2 = -4 + 0.25 Combine like terms: -4 + 0.25 = -3.75 0.25 + -1a + a2 = -3.75 Factor a perfect square on the left side: (a + -0.5)(a + -0.5) = -3.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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