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Simplifying a2 + -14a + 79 = -8 Reorder the terms: 79 + -14a + a2 = -8 Solving 79 + -14a + a2 = -8 Solving for variable 'a'. Reorder the terms: 79 + 8 + -14a + a2 = -8 + 8 Combine like terms: 79 + 8 = 87 87 + -14a + a2 = -8 + 8 Combine like terms: -8 + 8 = 0 87 + -14a + a2 = 0 Begin completing the square. Move the constant term to the right: Add '-87' to each side of the equation. 87 + -14a + -87 + a2 = 0 + -87 Reorder the terms: 87 + -87 + -14a + a2 = 0 + -87 Combine like terms: 87 + -87 = 0 0 + -14a + a2 = 0 + -87 -14a + a2 = 0 + -87 Combine like terms: 0 + -87 = -87 -14a + a2 = -87 The a term is -14a. Take half its coefficient (-7). Square it (49) and add it to both sides. Add '49' to each side of the equation. -14a + 49 + a2 = -87 + 49 Reorder the terms: 49 + -14a + a2 = -87 + 49 Combine like terms: -87 + 49 = -38 49 + -14a + a2 = -38 Factor a perfect square on the left side: (a + -7)(a + -7) = -38 Can't calculate square root of the right side. The solution to this equation could not be determined.
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