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Simplifying a(a + 7) + -3(a + -7) = 0 Reorder the terms: a(7 + a) + -3(a + -7) = 0 (7 * a + a * a) + -3(a + -7) = 0 (7a + a2) + -3(a + -7) = 0 Reorder the terms: 7a + a2 + -3(-7 + a) = 0 7a + a2 + (-7 * -3 + a * -3) = 0 7a + a2 + (21 + -3a) = 0 Reorder the terms: 21 + 7a + -3a + a2 = 0 Combine like terms: 7a + -3a = 4a 21 + 4a + a2 = 0 Solving 21 + 4a + a2 = 0 Solving for variable 'a'. Begin completing the square. Move the constant term to the right: Add '-21' to each side of the equation. 21 + 4a + -21 + a2 = 0 + -21 Reorder the terms: 21 + -21 + 4a + a2 = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 4a + a2 = 0 + -21 4a + a2 = 0 + -21 Combine like terms: 0 + -21 = -21 4a + a2 = -21 The a term is 4a. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4a + 4 + a2 = -21 + 4 Reorder the terms: 4 + 4a + a2 = -21 + 4 Combine like terms: -21 + 4 = -17 4 + 4a + a2 = -17 Factor a perfect square on the left side: (a + 2)(a + 2) = -17 Can't calculate square root of the right side. The solution to this equation could not be determined.
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