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Simplifying a2 + -14a + 63 = -2 Reorder the terms: 63 + -14a + a2 = -2 Solving 63 + -14a + a2 = -2 Solving for variable 'a'. Reorder the terms: 63 + 2 + -14a + a2 = -2 + 2 Combine like terms: 63 + 2 = 65 65 + -14a + a2 = -2 + 2 Combine like terms: -2 + 2 = 0 65 + -14a + a2 = 0 Begin completing the square. Move the constant term to the right: Add '-65' to each side of the equation. 65 + -14a + -65 + a2 = 0 + -65 Reorder the terms: 65 + -65 + -14a + a2 = 0 + -65 Combine like terms: 65 + -65 = 0 0 + -14a + a2 = 0 + -65 -14a + a2 = 0 + -65 Combine like terms: 0 + -65 = -65 -14a + a2 = -65 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 = -65 + 49 Reorder the terms: 49 + -14a + a2 = -65 + 49 Combine like terms: -65 + 49 = -16 49 + -14a + a2 = -16 Factor a perfect square on the left side: (a + -7)(a + -7) = -16 Can't calculate square root of the right side. The solution to this equation could not be determined.
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