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Simplifying a(a + -7) + 3(2a + 5) = 0 Reorder the terms: a(-7 + a) + 3(2a + 5) = 0 (-7 * a + a * a) + 3(2a + 5) = 0 (-7a + a2) + 3(2a + 5) = 0 Reorder the terms: -7a + a2 + 3(5 + 2a) = 0 -7a + a2 + (5 * 3 + 2a * 3) = 0 -7a + a2 + (15 + 6a) = 0 Reorder the terms: 15 + -7a + 6a + a2 = 0 Combine like terms: -7a + 6a = -1a 15 + -1a + a2 = 0 Solving 15 + -1a + a2 = 0 Solving for variable 'a'. Begin completing the square. Move the constant term to the right: Add '-15' to each side of the equation. 15 + -1a + -15 + a2 = 0 + -15 Reorder the terms: 15 + -15 + -1a + a2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1a + a2 = 0 + -15 -1a + a2 = 0 + -15 Combine like terms: 0 + -15 = -15 -1a + a2 = -15 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 = -15 + 0.25 Reorder the terms: 0.25 + -1a + a2 = -15 + 0.25 Combine like terms: -15 + 0.25 = -14.75 0.25 + -1a + a2 = -14.75 Factor a perfect square on the left side: (a + -0.5)(a + -0.5) = -14.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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