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Simplifying x2 + 20x = -224 Reorder the terms: 20x + x2 = -224 Solving 20x + x2 = -224 Solving for variable 'x'. Reorder the terms: 224 + 20x + x2 = -224 + 224 Combine like terms: -224 + 224 = 0 224 + 20x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-224' to each side of the equation. 224 + 20x + -224 + x2 = 0 + -224 Reorder the terms: 224 + -224 + 20x + x2 = 0 + -224 Combine like terms: 224 + -224 = 0 0 + 20x + x2 = 0 + -224 20x + x2 = 0 + -224 Combine like terms: 0 + -224 = -224 20x + x2 = -224 The x term is 20x. Take half its coefficient (10). Square it (100) and add it to both sides. Add '100' to each side of the equation. 20x + 100 + x2 = -224 + 100 Reorder the terms: 100 + 20x + x2 = -224 + 100 Combine like terms: -224 + 100 = -124 100 + 20x + x2 = -124 Factor a perfect square on the left side: (x + 10)(x + 10) = -124 Can't calculate square root of the right side. The solution to this equation could not be determined.
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