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Simplifying a * a = (a) + -1(0.5 * 1) Multiply a * a a2 = (a) + -1(0.5 * 1) a2 = a + -1(0.5 * 1) Multiply 0.5 * 1 a2 = a + -1(0.5) Multiply -1 * 0.5 a2 = a + -0.5 Reorder the terms: a2 = -0.5 + a Solving a2 = -0.5 + a Solving for variable 'a'. Reorder the terms: 0.5 + -1a + a2 = -0.5 + a + 0.5 + -1a Reorder the terms: 0.5 + -1a + a2 = -0.5 + 0.5 + a + -1a Combine like terms: -0.5 + 0.5 = 0.0 0.5 + -1a + a2 = 0.0 + a + -1a 0.5 + -1a + a2 = a + -1a Combine like terms: a + -1a = 0 0.5 + -1a + a2 = 0 Begin completing the square. Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + -1a + -0.5 + a2 = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + -1a + a2 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -1a + a2 = 0 + -0.5 -1a + a2 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 -1a + a2 = -0.5 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 = -0.5 + 0.25 Reorder the terms: 0.25 + -1a + a2 = -0.5 + 0.25 Combine like terms: -0.5 + 0.25 = -0.25 0.25 + -1a + a2 = -0.25 Factor a perfect square on the left side: (a + -0.5)(a + -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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