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Simplifying a2 + -3a + 5(2 + a) = 0 a2 + -3a + (2 * 5 + a * 5) = 0 a2 + -3a + (10 + 5a) = 0 Reorder the terms: 10 + -3a + 5a + a2 = 0 Combine like terms: -3a + 5a = 2a 10 + 2a + a2 = 0 Solving 10 + 2a + a2 = 0 Solving for variable 'a'. Begin completing the square. Move the constant term to the right: Add '-10' to each side of the equation. 10 + 2a + -10 + a2 = 0 + -10 Reorder the terms: 10 + -10 + 2a + a2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 2a + a2 = 0 + -10 2a + a2 = 0 + -10 Combine like terms: 0 + -10 = -10 2a + a2 = -10 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 = -10 + 1 Reorder the terms: 1 + 2a + a2 = -10 + 1 Combine like terms: -10 + 1 = -9 1 + 2a + a2 = -9 Factor a perfect square on the left side: (a + 1)(a + 1) = -9 Can't calculate square root of the right side. The solution to this equation could not be determined.
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