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Simplifying a2 + -16a + 130 = 0 Reorder the terms: 130 + -16a + a2 = 0 Solving 130 + -16a + a2 = 0 Solving for variable 'a'. Begin completing the square. Move the constant term to the right: Add '-130' to each side of the equation. 130 + -16a + -130 + a2 = 0 + -130 Reorder the terms: 130 + -130 + -16a + a2 = 0 + -130 Combine like terms: 130 + -130 = 0 0 + -16a + a2 = 0 + -130 -16a + a2 = 0 + -130 Combine like terms: 0 + -130 = -130 -16a + a2 = -130 The a term is -16a. Take half its coefficient (-8). Square it (64) and add it to both sides. Add '64' to each side of the equation. -16a + 64 + a2 = -130 + 64 Reorder the terms: 64 + -16a + a2 = -130 + 64 Combine like terms: -130 + 64 = -66 64 + -16a + a2 = -66 Factor a perfect square on the left side: (a + -8)(a + -8) = -66 Can't calculate square root of the right side. The solution to this equation could not be determined.
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