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Simplifying x2 + 2x = -38 Reorder the terms: 2x + x2 = -38 Solving 2x + x2 = -38 Solving for variable 'x'. Reorder the terms: 38 + 2x + x2 = -38 + 38 Combine like terms: -38 + 38 = 0 38 + 2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-38' to each side of the equation. 38 + 2x + -38 + x2 = 0 + -38 Reorder the terms: 38 + -38 + 2x + x2 = 0 + -38 Combine like terms: 38 + -38 = 0 0 + 2x + x2 = 0 + -38 2x + x2 = 0 + -38 Combine like terms: 0 + -38 = -38 2x + x2 = -38 The x term is 2x. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x + 1 + x2 = -38 + 1 Reorder the terms: 1 + 2x + x2 = -38 + 1 Combine like terms: -38 + 1 = -37 1 + 2x + x2 = -37 Factor a perfect square on the left side: (x + 1)(x + 1) = -37 Can't calculate square root of the right side. The solution to this equation could not be determined.
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