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Simplifying x2 + 82x + 2304 = 0 Reorder the terms: 2304 + 82x + x2 = 0 Solving 2304 + 82x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-2304' to each side of the equation. 2304 + 82x + -2304 + x2 = 0 + -2304 Reorder the terms: 2304 + -2304 + 82x + x2 = 0 + -2304 Combine like terms: 2304 + -2304 = 0 0 + 82x + x2 = 0 + -2304 82x + x2 = 0 + -2304 Combine like terms: 0 + -2304 = -2304 82x + x2 = -2304 The x term is 82x. Take half its coefficient (41). Square it (1681) and add it to both sides. Add '1681' to each side of the equation. 82x + 1681 + x2 = -2304 + 1681 Reorder the terms: 1681 + 82x + x2 = -2304 + 1681 Combine like terms: -2304 + 1681 = -623 1681 + 82x + x2 = -623 Factor a perfect square on the left side: (x + 41)(x + 41) = -623 Can't calculate square root of the right side. The solution to this equation could not be determined.
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