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Simplifying x2 + -38x + 1586 = 0 Reorder the terms: 1586 + -38x + x2 = 0 Solving 1586 + -38x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-1586' to each side of the equation. 1586 + -38x + -1586 + x2 = 0 + -1586 Reorder the terms: 1586 + -1586 + -38x + x2 = 0 + -1586 Combine like terms: 1586 + -1586 = 0 0 + -38x + x2 = 0 + -1586 -38x + x2 = 0 + -1586 Combine like terms: 0 + -1586 = -1586 -38x + x2 = -1586 The x term is -38x. Take half its coefficient (-19). Square it (361) and add it to both sides. Add '361' to each side of the equation. -38x + 361 + x2 = -1586 + 361 Reorder the terms: 361 + -38x + x2 = -1586 + 361 Combine like terms: -1586 + 361 = -1225 361 + -38x + x2 = -1225 Factor a perfect square on the left side: (x + -19)(x + -19) = -1225 Can't calculate square root of the right side. The solution to this equation could not be determined.
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