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Simplifying a2 + -20a + 160 = 0 Reorder the terms: 160 + -20a + a2 = 0 Solving 160 + -20a + a2 = 0 Solving for variable 'a'. Begin completing the square. Move the constant term to the right: Add '-160' to each side of the equation. 160 + -20a + -160 + a2 = 0 + -160 Reorder the terms: 160 + -160 + -20a + a2 = 0 + -160 Combine like terms: 160 + -160 = 0 0 + -20a + a2 = 0 + -160 -20a + a2 = 0 + -160 Combine like terms: 0 + -160 = -160 -20a + a2 = -160 The a term is -20a. Take half its coefficient (-10). Square it (100) and add it to both sides. Add '100' to each side of the equation. -20a + 100 + a2 = -160 + 100 Reorder the terms: 100 + -20a + a2 = -160 + 100 Combine like terms: -160 + 100 = -60 100 + -20a + a2 = -60 Factor a perfect square on the left side: (a + -10)(a + -10) = -60 Can't calculate square root of the right side. The solution to this equation could not be determined.
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