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Simplifying x2 + 38x + 480 = 0 Reorder the terms: 480 + 38x + x2 = 0 Solving 480 + 38x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-480' to each side of the equation. 480 + 38x + -480 + x2 = 0 + -480 Reorder the terms: 480 + -480 + 38x + x2 = 0 + -480 Combine like terms: 480 + -480 = 0 0 + 38x + x2 = 0 + -480 38x + x2 = 0 + -480 Combine like terms: 0 + -480 = -480 38x + x2 = -480 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 = -480 + 361 Reorder the terms: 361 + 38x + x2 = -480 + 361 Combine like terms: -480 + 361 = -119 361 + 38x + x2 = -119 Factor a perfect square on the left side: (x + 19)(x + 19) = -119 Can't calculate square root of the right side. The solution to this equation could not be determined.
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