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Simplifying a2 + -40a + 416 = 0 Reorder the terms: 416 + -40a + a2 = 0 Solving 416 + -40a + a2 = 0 Solving for variable 'a'. Begin completing the square. Move the constant term to the right: Add '-416' to each side of the equation. 416 + -40a + -416 + a2 = 0 + -416 Reorder the terms: 416 + -416 + -40a + a2 = 0 + -416 Combine like terms: 416 + -416 = 0 0 + -40a + a2 = 0 + -416 -40a + a2 = 0 + -416 Combine like terms: 0 + -416 = -416 -40a + a2 = -416 The a term is -40a. Take half its coefficient (-20). Square it (400) and add it to both sides. Add '400' to each side of the equation. -40a + 400 + a2 = -416 + 400 Reorder the terms: 400 + -40a + a2 = -416 + 400 Combine like terms: -416 + 400 = -16 400 + -40a + a2 = -16 Factor a perfect square on the left side: (a + -20)(a + -20) = -16 Can't calculate square root of the right side. The solution to this equation could not be determined.
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